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Shark 3D is an engine developed by Spinor for creating and viewing interactive 3D scenes. It is mainly used for developing video games and things similarDirac operator (1,619 words) [view diff] exact match in snippet view article find links to article
define the notion of a Clifford algebra. Solutions to the Dirac equation for spinor fields are often called harmonic spinors. Feynman's Dirac operator describesOrthogonal group (7,881 words) [view diff] exact match in snippet view article find links to article
symmetric bilinear form of the quadratic form is also an alternating form. The spinor norm is a homomorphism from an orthogonal group over a field F to the quotientSupersymmetry algebra (726 words) [view diff] exact match in snippet view article find links to article
also contains some fermionic supercharges, transforming as a sum of N real spinor representations of the Poincaré group. Such symmetries are allowed by theSpin(7)-manifold (350 words) [view diff] exact match in snippet view article
contained in Spin(7). Spin(7)-manifolds are Ricci-flat and admit a parallel spinor. They also admit a parallel 4-form, known as the Cayley form, which is aSymplectic spinor bundle (501 words) [view diff] exact match in snippet view article find links to article
symplectic manifold ( M , ω ) , {\displaystyle (M,\omega ),\,} the symplectic spinor bundle is the Hilbert space bundle π Q : Q → M {\displaystyle \pi _{\mathbfGS formalism (184 words) [view diff] exact match in snippet view article find links to article
is possible in a formalism inspired on the GS formalism, known as pure spinor formalism. Supersymmetry RNS formalism M. B. Green, J. H. Schwarz, J. HElectron magnetic moment (3,358 words) [view diff] exact match in snippet view article find links to article
{\displaystyle u(p_{i})} and u ¯ ( p f ) {\displaystyle {\bar {u}}(p_{f})} are 4-spinor solution of the Dirac equation normalized so that u ¯ u = 2 m e {\displaystyleList of quantum field theories (276 words) [view diff] exact match in snippet view article find links to article
theory Theories whose matter content consists only of spinor fields Dirac theory: free spinor field theory Thirring model Nambu–Jona-Lasinio model Gross–NeveuSuper Minkowski space (2,186 words) [view diff] exact match in snippet view article find links to article
the type of reality structure for the spinor representation, and the type of invariant bilinear form on the spinor representation. The table repeats wheneverSuper QCD (742 words) [view diff] exact match in snippet view article find links to article
used version of super QCD is in 4 dimensions and contains one Majorana spinor supercharge. The particle content consists of vector supermultiplets, whichSchwinger model (370 words) [view diff] exact match in snippet view article find links to article
the gauge covariant derivative, ψ {\displaystyle \psi } is the fermion spinor, m {\displaystyle m} is the fermion mass and γ 0 , γ 1 {\displaystyle \gammaSpinor genus (245 words) [view diff] exact match in snippet view article find links to article
In mathematics, the spinor genus is a classification of quadratic forms and lattices over the ring of integers, introduced by Martin Eichler. It refinesHamiltonian field theory (1,842 words) [view diff] exact match in snippet view article find links to article
fields and more generally tensor fields and spinor fields. In physics, tensor fields describe bosons and spinor fields describe fermions. The equations ofSpin polarization (511 words) [view diff] exact match in snippet view article find links to article
any alignment of the components of a non-scalar (vectorial, tensorial, spinor) field with its arguments, i.e., with the nonrelativistic three spatialMetaplectic structure (972 words) [view diff] exact match in snippet view article find links to article
structure on a symplectic manifold allows one to define the symplectic spinor bundle, which is the Hilbert space bundle associated to the metaplecticQuadric (algebraic geometry) (3,537 words) [view diff] exact match in snippet view article
Projective pure spinors, or simple spinor variety, of dimension m(m + 1)/2. (Another description of the pure spinor variety is as OGr + ( m + 1 , 2 mSuperconformal algebra (1,311 words) [view diff] exact match in snippet view article find links to article
{\displaystyle {\mathfrak {so}}(p+1,q+1)} and whose odd generators transform in spinor representations of s o ( p + 1 , q + 1 ) {\displaystyle {\mathfrak {so}}(p+1R-parity (1,558 words) [view diff] exact match in snippet view article find links to article
number of spinor fields (i.e. there is a spinor parity). After GUT symmetry breaking, this spinor parity descends into R-parity so long as no spinor fieldsN = 1 supersymmetric Yang–Mills theory (2,585 words) [view diff] exact match in snippet view article find links to article
{\displaystyle {\mathfrak {g}}} -valued Majorana spinor field Ψ {\displaystyle \Psi } (an adjoint-valued spinor), known as the 'gaugino' a g {\displaystyleLagrangian (field theory) (6,704 words) [view diff] exact match in snippet view article
generalized for vector fields, tensor fields, and spinor fields. In physics, fermions are described by spinor fields. Bosons are described by tensor fieldsSpinor condensate (1,108 words) [view diff] exact match in snippet view article find links to article
Spinor condensates are degenerate Bose gases that have degrees of freedom arising from the internal spin of the constituent particles . They are describedYuri Golfand (404 words) [view diff] exact match in snippet view article find links to article
fermionic particles by extending the Poincaré algebra with anticommuting spinor generators. The algebra they constructed is also called a super-PoincaréRepresentation theory of the Poincaré group (584 words) [view diff] exact match in snippet view article find links to article
product preserved by this representation by associating a 4-component Dirac spinor ψ {\displaystyle \psi } with each particle. These spinors transform underRobert Geroch (748 words) [view diff] exact match in snippet view article find links to article
8..782G. doi:10.1063/1.1705276. ISSN 0022-2488. Geroch, Robert (1968), "Spinor Structure of Space-Times in General Relativity. I", Journal of MathematicalAntilinear map (1,765 words) [view diff] exact match in snippet view article find links to article
Antilinear maps occur in quantum mechanics in the study of time reversal and in spinor calculus, where it is customary to replace the bars over the basis vectorsPp-wave spacetime (3,411 words) [view diff] exact match in snippet view article find links to article
gravitational field that is a pp-wave, no electrodynamic radiation, and a massless spinor exhibiting axial symmetry. In the Weyl-Lewis-Papapetrou spacetime, thereSkyrmion (3,176 words) [view diff] exact match in snippet view article find links to article
the negative south-pole spin is mapped onto the center of the disk. In a spinor field such as for example photonic or polariton fluids the skyrmion topologyClifford analysis (3,393 words) [view diff] exact match in snippet view article find links to article
conformally flat manifold M we need a spin structure on M in order to define a spinor bundle on whose sections we can allow a Dirac operator to act. ExplicitGrassmann number (3,868 words) [view diff] exact match in snippet view article find links to article
algebra with m generators, but this requires work.[clarification needed] The spinor space is defined as the Grassmann or exterior algebra ⋀ W {\displaystyleSkyrmion (3,176 words) [view diff] exact match in snippet view article find links to article
the negative south-pole spin is mapped onto the center of the disk. In a spinor field such as for example photonic or polariton fluids the skyrmion topologyBerry connection and curvature (2,556 words) [view diff] no match in snippet view article find links to article
In physics, Berry connection and Berry curvature are related concepts which can be viewed, respectively, as a local gauge potential and gauge field associatedRichard B. Dunn Solar Telescope (1,926 words) [view diff] case mismatch in snippet view article find links to article
Anthony; Lites, Bruce W.; Tomczyk, Steven; Hegwer, Steven (2016-01-16), "SPINOR: Visible and Infrared Spectro-Polarimetry at the National Solar Observatory"Asım Orhan Barut (738 words) [view diff] exact match in snippet view article find links to article
Current 1973 New Relativistic Coulomb Hamiltonian with O(4) Symmetry and a Spinor Realization of the Dynamical Group O(4,2) 1974 Electrodynamics in TermsFerdinando Gliozzi (103 words) [view diff] exact match in snippet view article find links to article
Olive, David I. (1977). "Supersymmetry, Supergravity Theories And The Dual Spinor Model". Nuclear Physics B. 122 (2): 253–290. Bibcode:1977NuPhB.122..253GNearly Kähler manifold (782 words) [view diff] exact match in snippet view article find links to article
showed that a 6-dimensional Riemannian manifold admits a Riemannian Killing spinor if and only if it is nearly Kähler. This was later given a more fundamentalCovariant classical field theory (1,272 words) [view diff] exact match in snippet view article find links to article
formulation of classical field theory. Scalar field theory Klein−Gordon theory Spinor theories Dirac theory Weyl theory Majorana theory Gauge theories MaxwellParticle physics and representation theory (2,697 words) [view diff] exact match in snippet view article find links to article
with values in a two-dimensional spinor space. The action of S O ( 3 ) {\displaystyle \mathrm {SO(3)} } on the spinor space is only projective: It doesHarmonic superspace (964 words) [view diff] exact match in snippet view article find links to article
complexification, correspond to the tensor product of a four-dimensional Dirac spinor with the fundamental representation of SU(2)R. The quotient space S U (Joos–Weinberg equation (2,217 words) [view diff] exact match in snippet view article find links to article
equations are wavefunctions, mathematically in the form of multi-component spinor fields. The spin quantum number is usually denoted by s in quantum mechanicsE6 (mathematics) (3,820 words) [view diff] exact match in snippet view article
first five entries. Two 16-dimensional subalgebras that transform as a Weyl spinor of spin ( 10 ) {\displaystyle \operatorname {spin} (10)} and its complexFundamental representation (475 words) [view diff] exact match in snippet view article find links to article
representations of the twofold cover of an even orthogonal group, the even spinor group, are fundamental representations that cannot be realized in the spaceGlossary of elementary quantum mechanics (2,522 words) [view diff] exact match in snippet view article find links to article
wave function of particle(s). See "total wave function of a particle". Spinor Synonymous to "spin wave function". Spatial wave function Part of a waveType I string theory (542 words) [view diff] exact match in snippet view article find links to article
Scherk and D. I. Olive, "Supersymmetry, Supergravity Theories and the Dual Spinor Model", Nucl. Phys. B 122 (1977), 253. Sagnotti, A. (1988). "Open stringsList of Lie groups topics (360 words) [view diff] exact match in snippet view article find links to article
motions of the Poincaré disk model of the Hyperbolic plane. Lorentz group Spinor group Symplectic group Exceptional groups G2 F4 E6 E7 E8 Affine group EuclideanSymmetry (physics) (3,283 words) [view diff] exact match in snippet view article
the infinitesimal effect on a scalar ϕ ( x ) {\displaystyle \phi (x)} , spinor ψ ( x ) {\displaystyle \psi (x)} or vector field A ( x ) {\displaystyleYvonne Choquet-Bruhat (2,102 words) [view diff] exact match in snippet view article find links to article
showed the existence of global solutions of the Yang–Mills, Higgs, and spinor field equations in 3+1 Dimensions. Additionally in 1984 she made perhapsRepresentation theory of the Lorentz group (19,763 words) [view diff] exact match in snippet view article find links to article
(1/2, 0) ⊕ (0, 1/2) is the bispinor representation. See also Dirac spinor and Weyl spinors and bispinors below. (1, 1/2) ⊕ (1/2, 1) is the Rarita–SchwingerAnomaly (physics) (2,809 words) [view diff] exact match in snippet view article
with a Spin(10) gauge group and chiral fermions in the 16-dimensional spinor representations, defined on non-spin manifolds. The concept of global symmetriesThomas Curtright (339 words) [view diff] exact match in snippet view article find links to article
Database [1] and the GoogleCite database [2]. Curtright, T. (1977). "Conformal spinor current anomalies". Physics Letters B. 71 (1): 185–188. Bibcode:1977PhLBScalar (physics) (1,090 words) [view diff] exact match in snippet view article
regarded as a special case of more general fields, like vector fields, spinor fields, and tensor fields. Like other physical quantities, a physical quantityElko (144 words) [view diff] exact match in snippet view article find links to article
(album), a live album by Railroad Earth Elko (surname), surname ELKO field, a spinor field in theoretical physics Elko Grupa, a Latvia-based IT company ELKONoisia discography (250 words) [view diff] exact match in snippet view article find links to article
2003 "Silicon" / "Tomahawk" (with Mayhem) 2004 "Massada" / "Lifeless" (by Spinor) "Drytears" (by Predator and Adi J) / "Cloudshine" "Hubcap" / "Back Draft"Multiplet (1,702 words) [view diff] exact match in snippet view article find links to article
accurately labelled a covector field), which transforms as a 4-vector, and spinor fields ψ α {\displaystyle \psi _{\alpha }} such as Dirac or Weyl spinorsList of finite simple groups (1,789 words) [view diff] exact match in snippet view article find links to article
orthogonal group in dimension 2n + 1 by taking the kernel of the determinant and spinor norm maps. B1(q) also exists, but is the same as A1(q). B2(q) has a non-trivialHerbert Jehle (669 words) [view diff] exact match in snippet view article find links to article
nonlinear field theory, extension of the formalism of covariant two-component spinor fields, the association of some comets with the orbital parameters of JupiterPseudoscalar (831 words) [view diff] exact match in snippet view article find links to article
to the pseudoscalars in physics. Zee, Anthony (2010). "II. Dirac and the Spinor II.1 The Dirac Equation § Parity". Quantum field theory in a nutshell (2nd edRNS formalism (4,752 words) [view diff] exact match in snippet view article find links to article
forms a representation of this algebra. In ten dimensions this is a Dirac spinor, a 32 dimensional representation which can be reduced down to two Weyl representationsGauge theory (mathematics) (11,468 words) [view diff] exact match in snippet view article
an associated spinor bundle S + {\displaystyle S^{+}} . The connection A {\displaystyle A} is on L {\displaystyle L} , and the spinor field ψ ∈ Γ ( SBogomol'nyi–Prasad–Sommerfield bound (2,633 words) [view diff] exact match in snippet view article find links to article
{\displaystyle Q_{\alpha }^{I}} , where α {\displaystyle \alpha } is a spinor index and I = 1 , … , N {\displaystyle I=1,\dots ,N} labels the differentZitterbewegung (2,174 words) [view diff] exact match in snippet view article find links to article
Zitterbewegung appears as due to the "small components" of the Dirac 4-spinor, due to a little bit of antiparticle mixed up in the particle wavefunctionWilhelm Killing (907 words) [view diff] exact match in snippet view article find links to article
Killing equation Killing form Killing–Hopf theorem Killing horizon Killing spinor Killing tensor Killing vector field Levi decomposition G2 (mathematics)Supersymmetry (7,569 words) [view diff] exact match in snippet view article find links to article
Poincaré algebra can be extended through introduction of four anticommuting spinor generators (in four dimensions), which later became known as superchargesPseudo-Euclidean space (2,367 words) [view diff] exact match in snippet view article find links to article
Algebras and Spinor Structures, Springer Science & Business Media, p. 32. Rafal Ablamowicz; P. Lounesto (2013), Clifford Algebras and Spinor StructuresString field theory (5,311 words) [view diff] exact match in snippet view article find links to article
deformations. A formulation of superstring field theory using the non-minimal pure-spinor variables was introduced by Berkovits. The action is cubic and includesFrancium compounds (584 words) [view diff] exact match in snippet view article find links to article
francium–oxygen bonding. The relativistic destabilisation of the 6p3/2 spinor may make francium compounds in oxidation states higher than +1 possibleDavid Hestenes (2,858 words) [view diff] exact match in snippet view article find links to article
history, in: Rafal Ablamowicz, P. Lounesto (eds.): Clifford Algebras and Spinor Structures: A Special Volume Dedicated to the Memory of Albert CrumeyrolleGHP formalism (317 words) [view diff] exact match in snippet view article find links to article
Roger; Rindler, Wolfgang (1987). Spinors and Space-Time: Volume 1, Two-Spinor Calculus and Relativistic Fields. Cambridge: Cambridge University PressPenrose transform (974 words) [view diff] exact match in snippet view article find links to article
this line. The maps from Y to X and Z are the natural projections. Using spinor index notation, the Penrose transform gives a bijection between solutionsIndex of physics articles (K) (735 words) [view diff] exact match in snippet view article
al‐Malik al‐Marwarrūdhī Kibble balance Kiel probe Killing horizon Killing spinor Kilogram Kilogram per cubic metre Kilometre Kim Maltman Kim Sung-Hou KimTin-Lun Ho (1,052 words) [view diff] exact match in snippet view article find links to article
1103/PhysRevLett.77.3276. PMID 10062180. (over 650 citations) Ho, Tin-Lun (1998). "Spinor Bose Condensates in Optical Traps". Physical Review Letters. 81 (4): 742–745Hironari Miyazawa (558 words) [view diff] exact match in snippet view article find links to article
Bibcode:1966PThPh..36.1266M. doi:10.1143/PTP.36.1266. H. Miyazawa (1968). "Spinor Currents and Symmetries of Baryons and Mesons". Phys. Rev. 170 (5): 1586–1590Wolfgang Ketterle (1,043 words) [view diff] exact match in snippet view article find links to article
Institute of Quantum Optics Known for Atom laser Bose–Einstein condensates Spinor condensate Awards I. I. Rabi Prize (1997) Dannie Heineman Prize (1999) FritzModuli (physics) (1,218 words) [view diff] exact match in snippet view article
4-dimensional theories with N=2 supersymmetry, corresponding to a single Dirac spinor supercharge, the conditions are stronger. The N=2 supersymmetry algebraGenus of a quadratic form (246 words) [view diff] exact match in snippet view article find links to article
so in this case all genera contain the same number of classes of forms. Spinor genus Cassels, J.W.S. (1978). Rational Quadratic Forms. London MathematicalClassification of Clifford algebras (2,420 words) [view diff] exact match in snippet view article find links to article
which has its fundamental representation on Δn := CN. A complex Dirac spinor is an element of Δn. The term complex signifies that it is the element ofRoger Penrose (7,590 words) [view diff] exact match in snippet view article find links to article
Two-Spinor Calculus and Relativistic Fields (with Wolfgang Rindler, 1987) ISBN 0-521-33707-0 (paperback) Spinors and Space-Time: Volume 2, Spinor andAnton Zeilinger (4,345 words) [view diff] exact match in snippet view article find links to article
confirmed a fundamental prediction of quantum mechanics, the sign change of a spinor phase upon rotation. This was followed by the first experimental realizationSymplectic basis (193 words) [view diff] exact match in snippet view article find links to article
even if it is finite. Darboux theorem Symplectic frame bundle Symplectic spinor bundle Symplectic vector space Maurice de Gosson: Symplectic Geometry andProbir Roy (2,368 words) [view diff] exact match in snippet view article find links to article
123–. ISBN 978-1-4008-3935-3. Gautam Bhattacharya, Probir Roy (1975). "Spinor-inverted solution to Thirring Model and its generaltion to U(n) symmetry"List of things named after Paul Dirac (218 words) [view diff] exact match in snippet view article find links to article
Dirac matter Dirac membrane Dirac picture Dirac sea Dirac spectrum Dirac spinor Fermi–Dirac statistics Dirac–von Neumann axioms Abraham–Lorentz–Dirac forceKlein transformation (462 words) [view diff] exact match in snippet view article find links to article
that, if x and y are spacelike-separated points and i and j represent the spinor/tensor indices, [ φ i ( x ) , φ j ( y ) ] = [ χ i ( x ) , χ j ( y ) ] =Geroch energy (258 words) [view diff] exact match in snippet view article find links to article
point. Mass in general relativity Robert Geroch Geroch, Robert (1968), "Spinor Structure of Space-Times in General Relativity. I", Journal of MathematicalStaggered fermion (2,819 words) [view diff] exact match in snippet view article find links to article
diagonalize the action in the spinor indices, meaning that the action ends up splitting into four distinct parts, one for each Dirac spinor component. DenotingBlack hole cosmology (794 words) [view diff] exact match in snippet view article find links to article
2010.09.056. Popławski, N. (2012). "Nonsingular, big-bounce cosmology from spinor-torsion coupling". Physical Review D. 85 (10): 107502. arXiv:1111.4595.Chiral anomaly (3,271 words) [view diff] exact match in snippet view article find links to article
1080/01422419808240874. S2CID 119499400. Adler, S. L. (1969). "Axial-Vector Vertex in Spinor Electrodynamics". Physical Review. 177 (5): 2426–2438. Bibcode:1969PhRvCausal sets (5,419 words) [view diff] exact match in snippet view article find links to article
Causal Set Theory; arXiv:0801.0240 R. Sverdlov; A Geometrical Description of Spinor Fields; arXiv:0802.1914 R. Sverdlov; Bosonic Fields in Causal Set Theory;Yukawa interaction (1,738 words) [view diff] exact match in snippet view article find links to article
Majorana field. In fact, the Yukawa interaction involving a scalar and a Dirac spinor can be thought of as a Yukawa interaction involving a scalar with two MajoranaOutermorphism (1,653 words) [view diff] exact match in snippet view article find links to article
Crumeyrolle, A.; Ablamowicz, R.; Lounesto, P. (1995), Clifford Algebras and Spinor Structures: A Special Volume Dedicated to the Memory of Albert CrumeyrolleIrving Segal (1,451 words) [view diff] exact match in snippet view article find links to article
Commutation theorem for traces Metaplectic group Symplectic group Symplectic spinor bundle Shale, D. (1962). "Linear symmetries of free boson fields". TransCorrelation function (quantum field theory) (1,757 words) [view diff] exact match in snippet view article
introduces external state terms such as polarization vectors for photons or spinor states for fermions. The requirement of using the connected correlationSoler model (794 words) [view diff] exact match in snippet view article find links to article
Teor. Fiz. 8: 260–266. Mario Soler (1970). "Classical, Stable, Nonlinear Spinor Field with Positive Rest Energy". Phys. Rev. D. 1 (10): 2766–2769. Bibcode:1970PhRvDAssociated bundle (2,010 words) [view diff] exact match in snippet view article find links to article
being an integrability condition so that the Frobenius theorem applies. Spinor bundle All of these constructions are due to Ehresmann (1941-3). AttributedBertram Kostant (1,209 words) [view diff] exact match in snippet view article find links to article
Oct. 1959) Chern's conjecture (affine geometry) Supermanifold Symplectic spinor bundle "Bertram Kostant, professor emeritus of mathematics, dies at 88"White hole (3,441 words) [view diff] exact match in snippet view article find links to article
Popławski, Nikodem (29 May 2012). "Nonsingular, big-bounce cosmology from spinor-torsion coupling". Physical Review D. 85 (10): 107502. arXiv:1111.4595.GSO projection (281 words) [view diff] exact match in snippet view article find links to article
Scherk and D. I. Olive, "Supersymmetry, Supergravity Theories and the Dual Spinor Model", Nucl. Phys. B 122 (1977), 253. Polchinski, Joseph (1998). StringDavid Olive (1,373 words) [view diff] exact match in snippet view article find links to article
; Olive, D. (1977). "Supersymmetry, supergravity theories and the dual spinor model" (PDF). Nuclear Physics B. 122 (2): 253–290. Bibcode:1977NuPhB.122Jerzy Plebański (559 words) [view diff] exact match in snippet view article find links to article
techniques. 2. Relativistic equations of motion: "fast approximation" 3. Spinor connections 4. Plebanski tensor 5. Plebanski action. All vacuum and self-dualAlmost complex manifold (2,403 words) [view diff] exact match in snippet view article find links to article
this half-dimensional space is the annihilator of a nowhere vanishing pure spinor then M is a generalized Calabi–Yau manifold. Almost quaternionic manifold –Matrix representation of Maxwell's equations (3,267 words) [view diff] exact match in snippet view article find links to article
elsevier-deutschland.de/ijleo/). Laporte, O., and Uhlenbeck, G. E. (1931). Applications of spinor analysis to the Maxwell and Dirac Equations. Physical Review, 37, 1380–1397Almost complex manifold (2,403 words) [view diff] exact match in snippet view article find links to article
this half-dimensional space is the annihilator of a nowhere vanishing pure spinor then M is a generalized Calabi–Yau manifold. Almost quaternionic manifold –Lattice gauge theory (1,819 words) [view diff] exact match in snippet view article find links to article
which the fundamental representation of SU(3) acts), a bispinor (Dirac 4-spinor), an nf vector, and a Grassmann variable. Thus, the composition of links'Cartan–Karlhede algorithm (701 words) [view diff] exact match in snippet view article find links to article
"Algebraically independent nth derivatives of the Riemannian curvature spinor in a general spacetime", Classical and Quantum Gravity, 3 (6): 1133, Bibcode:1986CQGraNobelium (8,181 words) [view diff] exact match in snippet view article find links to article
dihydride, NoH2, and relativistic stabilisation of the 7p1/2 spinor over the 6d3/2 spinor mean that excited states in nobelium atoms have 7s and 7p contributionSchrödinger equation (10,263 words) [view diff] exact match in snippet view article find links to article
all spin-1⁄2 particles, and the solutions to the equation are 4-component spinor fields with two components corresponding to the particle and the other twoField equation (1,303 words) [view diff] exact match in snippet view article find links to article
coordinate transformations (e.g. scalar fields, vector fields, tensor fields, spinor fields, twistor fields etc.). They can also inherit the classification ofList of scientific laws named after people (100 words) [view diff] exact match in snippet view article find links to article
Geometry René Descartes Dirac equation Dirac delta function Dirac comb Dirac spinor Dirac operator See also: List of things named after Paul Dirac MathematicsElectroweak interaction (3,600 words) [view diff] exact match in snippet view article find links to article
are deliberately inserted to expunge any left-chiral components of the spinor fields. This is why electroweak theory is said to be a 'chiral theory'.Holonomic basis (465 words) [view diff] exact match in snippet view article find links to article
Roger Penrose; Wolfgang Rindler, Spinors and Space–Time: Volume 1, Two-Spinor Calculus and Relativistic Fields, Cambridge University Press, pp. 197–199Spin quantum number (2,972 words) [view diff] exact match in snippet view article find links to article
} where s {\displaystyle \mathbf {s} } is the quantized spin vector or spinor ‖ s ‖ {\displaystyle \Vert \mathbf {s} \Vert } is the norm of the spin vectorAlexander P. Yefremov (301 words) [view diff] exact match in snippet view article find links to article
articles A. P. Yefremov: The conic-gearing image of a complex number and a spinor-born surface geometry, Gravitation & Cosmology 17:1-6, 2011, arXiv:1102Francium (4,281 words) [view diff] exact match in snippet view article find links to article
francium–oxygen bonding. The relativistic destabilisation of the 6p3/2 spinor may make francium compounds in oxidation states higher than +1 possibleMagnetic monopole (8,385 words) [view diff] exact match in snippet view article find links to article
monopole quasiparticles for the B* field were created and studied in a spinor Bose–Einstein condensate. This constitutes the first example of a quasi-magneticDirac sea (2,014 words) [view diff] exact match in snippet view article find links to article
[citation needed] In the modern interpretation, the field operator for a Dirac spinor is a sum of creation operators and annihilation operators, in a schematicIvor Robinson (physicist) (1,552 words) [view diff] exact match in snippet view article
Quantum Gravity 15(12): 3935,6 2000: (with Bogdan Nita) "An Invariant of Null Spinor Fields", Classical and Quantum Gravity 17(10):2149–52. 2002: (with P. DownesIndex of physics articles (D) (1,787 words) [view diff] exact match in snippet view article
Dirac fermion Dirac large numbers hypothesis Dirac operator Dirac sea Dirac spinor Dirac string Direct-current discharge Direct and indirect band gaps DirectMathematical formulation of the Standard Model (7,734 words) [view diff] exact match in snippet view article find links to article
are the same. ur(p) and vr(p) are non-operators that carry the vector or spinor aspects of the field (where relevant). p = ( E p / c , p ) {\displaystyleMathematical formulation of the Standard Model (7,734 words) [view diff] exact match in snippet view article find links to article
are the same. ur(p) and vr(p) are non-operators that carry the vector or spinor aspects of the field (where relevant). p = ( E p / c , p ) {\displaystyleOtto Laporte (1,709 words) [view diff] exact match in snippet view article find links to article
received April 21, 1930. Otto Laporte and George E. Uhlenbeck Application of Spinor Analysis to the Maxwell and Dirac Equations, Phys. Rev. 37 (11) 1380 - 1397Real structure (1,483 words) [view diff] exact match in snippet view article find links to article
Complexification Linear complex structure Linear map Sesquilinear form Spinor calculus Budinich, P. and Trautman, A. The Spinorial Chessboard. Springer-VerlagMatter (9,536 words) [view diff] exact match in snippet view article find links to article
'matter' we denote, in this context, the sources of the interactions, that is spinor fields (like quarks and leptons), which are believed to be the fundamentalN = 4 supersymmetric Yang–Mills theory (2,062 words) [view diff] exact match in snippet view article find links to article
1 + 4 + 6 = 11 fields, namely: one vector field (the spin-1 gauge boson), four spinor fields (the spin-1/2 fermions) and six scalar fields (the spin-0 bosons)Hydrogen atom (6,024 words) [view diff] exact match in snippet view article find links to article
relativity, and (as a consequence) made the wave function a 4-component "Dirac spinor" including "up" and "down" spin components, with both positive and "negative"Classical field theory (3,875 words) [view diff] exact match in snippet view article find links to article
Klein-Gordon theory for real or complex scalar fields Dirac theory for a Dirac spinor field Yang–Mills theory for a non-abelian gauge field Attempts to createSpin-transfer torque (992 words) [view diff] case mismatch in snippet view article find links to article
dubbed Spin-RAM, with replacement of the paramagnetic spacer layer of SPINOR memory with MgO dielectric. Hynix Semiconductor and Grandis formed a partnershipQuantum chromodynamics (5,927 words) [view diff] exact match in snippet view article find links to article
the gauge covariant derivative; the γμ are Gamma matrices connecting the spinor representation to the vector representation of the Lorentz group. HereinAxial current (950 words) [view diff] exact match in snippet view article find links to article
where ψ {\displaystyle \psi } is the particle field represented by Dirac spinor (since the particle is typically a spin-1/2 fermion) and γ 5 {\displaystyleFoldy–Wouthuysen transformation (3,101 words) [view diff] exact match in snippet view article find links to article
S2CID 250793483. Laporte, O.; Uhlenbeck, G. E. (1931). "Applications of spinor analysis to the Maxwell and Dirac Equations". Physical Review. 37 (11):Václav Hlavatý (663 words) [view diff] exact match in snippet view article find links to article
1073/pnas.38.12.1052. PMC 1063709. PMID 16589224. Hlavatý, V (1953). "The Spinor Connection in the Unified Einstein Theory of Relativity". Proceedings ofWorld manifold (1,526 words) [view diff] exact match in snippet view article find links to article
characteristic. Usually, one also requires that a world manifold admits a spinor structure in order to describe Dirac fermion fields in gravitation theorySymplectic frame bundle (409 words) [view diff] exact match in snippet view article find links to article
basis Symplectic structure Symplectic geometry Symplectic group Symplectic spinor bundle Habermann, Katharina; Habermann, Lutz (2006), Introduction to SymplecticRawtekk (615 words) [view diff] exact match in snippet view article find links to article
Rollercase 2011 2008 – Open Boarders / Savage (Citrus Recordings), Savage by Spinor 2011 – Snowflakes (New Blood 011, Med School Music) 2013 – Photone RecruitsHistory of string theory (4,201 words) [view diff] exact match in snippet view article find links to article
Olive, D. I. (1977). "Supersymmetry, Supergravity Theories and the Dual Spinor Model". Nucl. Phys. B. 122 (2): 253. Bibcode:1977NuPhB.122..253G. doi:10Maxwell's equations (7,989 words) [view diff] exact match in snippet view article find links to article
Solutions", in Ablamowicz, Rafał; Lounesto, Pertti (eds.), Clifford Algebras and Spinor Structures, Springer, pp. 265–280, doi:10.1007/978-94-015-8422-7_16,Electron electric dipole moment (2,178 words) [view diff] exact match in snippet view article find links to article
{\displaystyle u(p_{i})} and u ¯ ( p f ) {\displaystyle {\bar {u}}(p_{f})} are 4-spinor solutions of the Dirac equation normalized so that u ¯ u = 2 m e {\displaystyleBraid group (4,863 words) [view diff] exact match in snippet view article find links to article
Chetan; Wilczek, Frank (1996), "2n Quasihole States Realize 2n-1-Dimensional Spinor Braiding Statistics in Paired Quantum Hall States", Nuclear Physics B, 479Twisted geometries (386 words) [view diff] exact match in snippet view article find links to article
1103/PhysRevD.82.044018. S2CID 118396168. E. R. Livine and J. Tambornino (2012). "Spinor Representation for Loop Quantum Gravity". J. Math. Phys. 53 (1): 012503Macroscopic quantum phenomena (3,324 words) [view diff] exact match in snippet view article find links to article
; Tung, S.; Cornell, E.A. (2004). "Vortex-Lattice Dynamics in Rotating Spinor Bose-Einstein Condensates". Phys. Rev. Lett. 93 (3): 210403. Bibcode:2004PhRvLChiral symmetry breaking (2,740 words) [view diff] exact match in snippet view article find links to article
electron mass unites left and right handed spinors forming a 4 component Dirac spinor. In the absence of mass and quantum loops, QED would have a U ( 1 ) L ×Octonion (5,316 words) [view diff] exact match in snippet view article find links to article
Spin(7) that preserves any chosen particular vector in its 8 dimensional real spinor representation. The group Spin(7) is in turn a subgroup of the group ofOn shell renormalization scheme (1,635 words) [view diff] exact match in snippet view article find links to article
\nu }} is the field strength tensor, ψ {\displaystyle \psi } is the Dirac spinor (the relativistic equivalent of the wavefunction), and A {\displaystyleChristopher T. Hill (2,155 words) [view diff] exact match in snippet view article find links to article
[hep-th]. For fermion loops see: "Lecture notes for massless spinor and massive spinor triangle diagrams," arXiv:hep-th/0601155 [hep-th]. Frieman, JoshuaOn shell renormalization scheme (1,635 words) [view diff] exact match in snippet view article find links to article
\nu }} is the field strength tensor, ψ {\displaystyle \psi } is the Dirac spinor (the relativistic equivalent of the wavefunction), and A {\displaystyleLoop integral (1,444 words) [view diff] exact match in snippet view article find links to article
representation as well as of any representations that matter (scalar or spinor fields) in the theory transform under. The starting point is the actionGediminas Juzeliūnas (229 words) [view diff] exact match in snippet view article find links to article
Control: Modeling the Transistor of the Future Experimental demonstration of spinor slow light Viewpoint: Artificial magnetism for ultracold atoms ArtificialKosmann lift (1,431 words) [view diff] exact match in snippet view article find links to article
Francaviglia, M.; Godina, M. (1996). "A geometric definition of Lie derivative for Spinor Fields". In Janyska, J.; Kolář, I.; Slovák, J. (eds.). Proceedings of theIndex of physics articles (P) (2,604 words) [view diff] exact match in snippet view article
Purdue University Reactor Number One Pure bending Pure gauge Pure shear Pure spinor Pure state Purity (gas) Purity (quantum mechanics) Pwpaw Pyotr Kapitsa PyotrKlaus Fuchs (7,428 words) [view diff] exact match in snippet view article find links to article
Reciprocity, Part III: Reciprocal Wave Functions and Reciprocity, Part IV: Spinor Wave Functions, and one by himself, On the Statistical Method in NuclearScalar curvature (5,031 words) [view diff] exact match in snippet view article find links to article
the square of the Dirac operator and the tensor Laplacian (as defined on spinor fields) is given exactly by one-quarter of the scalar curvature. This isGoldberg–Sachs theorem (1,251 words) [view diff] exact match in snippet view article find links to article
13–23 (1962). Penrose, Roger (1984). Spinors and space-time Volume 1 two-spinor calculus and relativistic fields. Cambridge University Press. ISBN 0-521-24527-3David Shale (742 words) [view diff] exact match in snippet view article find links to article
2307/1970397. JSTOR 1970397. Shale, David; Stinespring, W. Forrest (1965). "Spinor Representations of Infinite Orthogonal Groups". Journal of Mathematics andUnunennium (8,381 words) [view diff] exact match in snippet view article find links to article
metals: this is because of the destabilization and expansion of the 7p3/2 spinor, causing its outermost electrons to have a lower ionization energy thanLivermorium (9,425 words) [view diff] exact match in snippet view article find links to article
chemistry should be essentially purely cationic, though the larger subshell and spinor energy splittings of livermorium as compared to polonium should make Lv2−Chiral model (3,269 words) [view diff] exact match in snippet view article find links to article
} represent the nonlinear "shifts" (spontaneous breaking). Through the spinor map, these four-dimensional rotations of (π, σ) can also be convenientlyUnbinilium (8,650 words) [view diff] exact match in snippet view article find links to article
metals: this is because of the destabilization and expansion of the 7p3/2 spinor, causing its outermost electrons to have a lower ionization energy thanSpecial linear Lie algebra (1,947 words) [view diff] exact match in snippet view article find links to article
relativity and supersymmetry: its fundamental representation is the so-called spinor representation, while its adjoint representation generates the Lorentz groupKilling vector field (4,724 words) [view diff] exact match in snippet view article find links to article
collineation Homothetic vector field Killing form Killing horizon Killing spinor Matter collineation Spacetime symmetries Jost, Jurgen (2002). RiemannianWeyl semimetal (2,246 words) [view diff] exact match in snippet view article find links to article
are massless chiral fermions embodying the mathematical concept of a Weyl spinor. Weyl spinors in turn play an important role in quantum field theory andAnalytical mechanics (5,764 words) [view diff] exact match in snippet view article find links to article
field formulation can be extended to vector fields, tensor fields, and spinor fields. The Lagrangian is the volume integral of the Lagrangian density:Yves Pomeau (2,127 words) [view diff] exact match in snippet view article find links to article
Pismen, L., Pomeau Y., and Rica S., « Core structure and oscillations of spinor vortices », Physica D, 1998. 117 (1/4), pp. 167–80 Josserand C., PomeauScalar field theory (4,903 words) [view diff] exact match in snippet view article find links to article
unchanged, in contrast to a vector or tensor field, or more generally, spinor-tensors, whose components undergo a mix under Lorentz transformations. SinceMatej Pavšič (950 words) [view diff] exact match in snippet view article find links to article
curved spaces. Pavšič also found that under space inversion a geometric spinor (an element of a Clifford algebra) becomes a mirror particle experiencingKenneth Alan Johnson (1,131 words) [view diff] exact match in snippet view article find links to article
S2CID 125028356. Adler, Stephen L. (1969-01-25). "Axial-Vector Vertex in Spinor Electrodynamics". Physical Review. 177 (5): 2426–2438. Bibcode:1969PhRvDavid Snoke (2,580 words) [view diff] exact match in snippet view article find links to article
(2015). "A new type of half-quantum circulation in a macroscopic polariton spinor ring condensate". Proc. Natl. Acad. Sci. 112 (9): 2676–81. arXiv:1402.4339Wave function (13,587 words) [view diff] exact match in snippet view article find links to article
electron, now called the Dirac equation. In this, the wave function is a spinor represented by four complex-valued components: two for the electron andOptical vortex (3,078 words) [view diff] exact match in snippet view article find links to article
Fellows, JM; et al. (2015). "Vortex and half-vortex dynamics in a nonlinear spinor quantum fluid". Science Advances. 1 (11): e1500807. arXiv:1403.0487. Bibcode:2015SciAHydrogen-like atom (5,292 words) [view diff] exact match in snippet view article find links to article
make up a bispinor. The first and second functions (or components of the spinor) correspond (in the usual basis) to spin "up" and spin "down" states, asFlerovium (12,027 words) [view diff] exact match in snippet view article find links to article
neutral state. In general, due to relativistic stabilization of the 7p1/2 spinor, Fl2+ is expected to have properties intermediate between those of Hg2+Vector magnetograph (624 words) [view diff] case mismatch in snippet view article find links to article
at the Dunn Solar Telescope can be operated as magnetographs, including SPINOR, FIRS and IBIS The spectropolarimeter (SP) attached to the solar opticalCosmic inflation (12,602 words) [view diff] exact match in snippet view article find links to article
09.056. Poplawski, N. J. (2012). "Nonsingular, big-bounce cosmology from spinor-torsion coupling". Physical Review D. 85 (10): 107502. arXiv:1111.4595.William A. Bardeen (2,195 words) [view diff] exact match in snippet view article find links to article
1103/PhysRev.182.1517. Bardeen, William A. (1969). "Anomalous Ward identities in spinor field theories". Phys. Rev. 184 (5): 1848–1857. Bibcode:1969PhRv..184.1848BMathematical descriptions of the electromagnetic field (6,726 words) [view diff] exact match in snippet view article find links to article
electromagnetic fields with the Dirac electron given by the four-component Dirac spinor field ψ, the current and charge densities have form: J = − e ψ † α ψ ρ =Peter R. Holland (1,045 words) [view diff] exact match in snippet view article find links to article
Hidden variables as computational tools: the construction of a relativistic spinor field, Found. Phys. 36, 369-384 (2006) (article; full text preprint) P.Rotation matrix (15,724 words) [view diff] exact match in snippet view article find links to article
the above holds for all faithful representations, including the doublet (spinor representation), which is simpler. The same explicit formula thus followsFlatness problem (4,327 words) [view diff] exact match in snippet view article find links to article
2010.09.056. Poplawski, N. (2012). "Nonsingular, big-bounce cosmology from spinor-torsion coupling". Phys. Rev. D. 85 (10): 107502. arXiv:1111.4595. Bibcode:2012PhRvDProjective orthogonal group (1,874 words) [view diff] exact match in snippet view article find links to article
one must use a subgroup (which may be of index 1 or 2), defined by the spinor norm (in odd characteristic) or the quasideterminant (in even characteristic)Spherical harmonics (12,515 words) [view diff] exact match in snippet view article find links to article
spherical harmonics in computations) Cylindrical harmonics Spherical basis Spinor spherical harmonics Spin-weighted spherical harmonics Sturm–Liouville theoryCoherent state (7,370 words) [view diff] exact match in snippet view article find links to article
Klauder, John R (1960). "The action option and a Feynman quantization of spinor fields in terms of ordinary c-numbers". Annals of Physics. 11 (2). ElsevierMöbius transformation (10,603 words) [view diff] exact match in snippet view article find links to article
Roger; Rindler, Wolfgang (1984), Spinors and space–time, Volume 1: Two-spinor calculus and relativistic fields, Cambridge University Press, ISBN 978-0-521-24527-2Henriette Elvang (1,139 words) [view diff] exact match in snippet view article find links to article
quantum field theory, including Feynman rules and Yukawa theory. She uses the spinor helicity formalism. Her work was turned into the first comprehensive textbookList of scientific publications by Albert Einstein (6,554 words) [view diff] exact match in snippet view article find links to article
268 1933 Spaltung der natürlichsten Feldgleichungen für Semi-Vektoren in Spinor-Gleichungen vom Diracschen Typus Akademie van wetenschappen (Amsterdam)Alkali metal (24,165 words) [view diff] exact match in snippet view article find links to article
metals: this is because of the destabilisation and expansion of the 7p3/2 spinor, causing its outermost electrons to have a lower ionisation energy thanQuasiprobability distribution (3,379 words) [view diff] exact match in snippet view article find links to article
Klauder, John R (1960). "The action option and a Feynman quantization of spinor fields in terms of ordinary c-numbers". Annals of Physics. 11 (2). ElsevierClassical group (7,794 words) [view diff] exact match in snippet view article find links to article
Ωn(R) consisting of the elements of the orthogonal group of elements of spinor norm 1, with corresponding subgroup and quotient groups SΩn(R), PΩn(R),Higher-spin theory (5,905 words) [view diff] exact match in snippet view article find links to article
{\displaystyle V_{\lambda _{1},\lambda _{2},\lambda _{3}}} , which in the spinor-helicity base can be represented as [ 12 ] λ 1 + λ 2 − λ 3 [ 23 ] λ 2 +Gauge covariant derivative (4,484 words) [view diff] exact match in snippet view article find links to article
{\displaystyle D_{\mu }} ) this is called minimal coupling. For a Dirac spinor field ψ {\displaystyle \psi } of charge q {\displaystyle q} the covariantKinetic term (2,638 words) [view diff] exact match in snippet view article find links to article
matrices, ψ {\displaystyle \psi } is a Dirac spinor, and ψ ¯ {\displaystyle {\bar {\psi }}} is the adjoint spinor. This kinetic term can be decomposed intoDe Broglie–Bohm theory (16,722 words) [view diff] exact match in snippet view article find links to article
{\psi }}\psi }},} where the wave function ψ {\displaystyle \psi } is a spinor, ψ ¯ {\displaystyle {\bar {\psi }}} is the corresponding adjoint, γ μ {\displaystyleBelinfante–Rosenfeld stress–energy tensor (2,553 words) [view diff] exact match in snippet view article find links to article
}})e_{a}^{\mu }\gamma ^{a}\Psi \right)+m{\bar {\Psi }}\Psi \right\}.} Here the spinor covariant derivatives are ∇ μ Ψ = ( ∂ ∂ x μ + 1 8 [ γ b , γ c ] ω b c μHirotaka Sugawara (1,272 words) [view diff] exact match in snippet view article find links to article
2396–2407. ISSN 1550-7998 Hirotaka Sugawara, "String in curved space: Use of spinor representation of a noncompact group", Physical Review Letters, Vol.56,Automatic calculation of particle interaction or decay (2,039 words) [view diff] exact match in snippet view article find links to article
the automation in the SM[19]. Feynman amplitudes are written in terms of spinor products of wave functions for massless fermions, and then evaluated numericallyFinite subgroups of SU(2) (3,974 words) [view diff] exact match in snippet view article
representations of Γ; while those which send −1 to −I are genuinely double-valued or spinor representations. Example. For the double icosahedral group, if φ {\displaystyleFour-gradient (8,619 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \psi } is Lorentz scalar for the Klein–Gordon equation, and a spinor for the Dirac equation. It is nice that the gamma matrices themselves referGraphene nanoribbon (6,361 words) [view diff] exact match in snippet view article find links to article
\partial _{x}(\phi _{A}(x),\phi _{B}(x))} along a trajectory representing the spinor solution ( ϕ A ( x ) , ϕ B ( x ) ) {\displaystyle (\phi _{A}(x),\phi _{B}(x))}Scientific phenomena named after people (6,840 words) [view diff] exact match in snippet view article find links to article
Alder Diophantine equation – Diophantus of Alexandria Dirac comb, fermion, spinor, equation, delta function, measure – Paul Dirac Peter Gustav Lejeune DirichletLane P. Hughston (4,067 words) [view diff] exact match in snippet view article find links to article
Quantum Gravity, Vol 5, pp 275–285. L. P. Hughston & W. T. Shaw (1989) Spinor Parametrisations of Minimal Surfaces, in Mathematics of Surfaces III (D600-cell (28,920 words) [view diff] exact match in snippet view article find links to article
successively generates a rotation, which in Clifford algebra is described by a spinor that is simply the geometric product of the two vectors generating the reflectionsBibliography of E. T. Whittaker (9,700 words) [view diff] exact match in snippet view article find links to article
Taylor (1 January 1937). "On the relations of the tensor-calculus to the spinor-calculus". Proceedings of the Royal Society of London. Series A, MathematicalQuantum scar (4,555 words) [view diff] exact match in snippet view article find links to article
Heuristically, these relativistic scars are a consequence of the fact that both spinor components satisfy the Helmholtz equation, in analogue to the time-independentPhase-space wavefunctions (2,161 words) [view diff] exact match in snippet view article find links to article
Vianna, J. David M. (2018-02-26). "Symplectic Field Theories: Scalar and Spinor Representations". Advances in Applied Clifford Algebras. 28 (1): 27. doi:10History of Lorentz transformations (15,399 words) [view diff] exact match in snippet view article find links to article
Penrose, R.; Rindler W. (1984), Spinors and Space-Time: Volume 1, Two-Spinor Calculus and Relativistic Fields, Cambridge University Press, ISBN 978-0521337076Vector spherical harmonics (5,424 words) [view diff] exact match in snippet view article find links to article
(3)} means, that spherical Hankel functions are used. Spherical harmonics Spinor spherical harmonics Spin-weighted spherical harmonics Electromagnetic radiationChetan Nayak (1,117 words) [view diff] exact match in snippet view article find links to article
Frank (18 November 1996). "2n-quasihole states realize 2n−1-dimensional spinor braiding statistics in paired quantum Hall states". Nuclear Physics B. 479Antonio Fernández Rañada (1,123 words) [view diff] exact match in snippet view article find links to article
——; Usón, Juan M. (1980). "Localized solutions of a charged nonlinear spinor field in a Coulomb-like potential". Journal of Mathematical Physics. 21List of eponyms (A–K) (11,201 words) [view diff] exact match in snippet view article
character – Dionysia Paul Dirac, French mathematician – Dirac fermion, Dirac spinor, Dirac equation, Dirac delta function, Dirac sea, Dirac Prize, Fermi–DiracRobert Schrader (1,601 words) [view diff] exact match in snippet view article find links to article
S2CID 121255055. Hogreve, H.; Schrader, R.; Seiler, R. (1978). "A conjecture on the spinor functional determinant". Nuclear Physics B. 142 (4): 525–534. Bibcode:1978NuPhBOlaf Lechtenfeld (2,596 words) [view diff] exact match in snippet view article find links to article
on superstring field theory, twistor string theory, topological and pure-spinor strings. He obtained exact solutions to Berkovits’ string field theory andLight front quantization (12,723 words) [view diff] exact match in snippet view article find links to article
The dynamical nature of the rotation generators means that tensor and spinor operators, whose commutation relations with the rotation generators areLoop representation in gauge theories and quantum gravity (5,585 words) [view diff] exact match in snippet view article find links to article
A holonomy is a measure of how much the initial and final values of a spinor or vector differ after parallel transport around a closed loop γ {\displaystyleVasiliev equations (9,794 words) [view diff] exact match in snippet view article find links to article
Prokushkin–Vasiliev equations has, in addition to the matter fields (scalar and spinor) and higher spin fields, a set of unphysical fields that do not have anyLeo Radzihovsky (3,236 words) [view diff] exact match in snippet view article find links to article
Leo; Choi, Sungsoo (2009). "p-Wave Resonant Bose Gas: A Finite-Momentum Spinor Superfluid". Physical Review Letters. 103 (9): 095302. arXiv:0904.3738.