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searching for Dirac operator 30 found (80 total)

Overlap fermion (667 words) [view diff] exact match in snippet view article find links to article

Euclidean spacetime lattice with spacing a {\displaystyle a} by the overlap Dirac operator D ov = 1 a ( ( 1 + a m ) 1 + ( 1 − a m ) γ 5 s i g n [ γ 5 A ] ) {\displaystyle

Domain wall fermion (575 words) [view diff] exact match in snippet view article find links to article

completely decouple from the system. Kaplan's (and equivalently Shamir's) DW Dirac operator is defined by two addends D DW ( x , s ; y , r ) = D ( x ; y ) δ s r

Twisted mass fermion (533 words) [view diff] exact match in snippet view article find links to article

a {\displaystyle a} . The twisted mass Dirac operator is constructed from the (massive) Wilson Dirac operator D W {\displaystyle D_{W}} and reads D tw

JLO cocycle (791 words) [view diff] exact match in snippet view article find links to article

self-adjoint (unbounded) operator D {\displaystyle D} , called the Dirac operator such that (i) D {\displaystyle D} is odd under γ {\displaystyle \gamma

Ginsparg–Wilson equation (587 words) [view diff] exact match in snippet view article find links to article

D\gamma _{5}+\gamma _{5}D=0} (where D {\displaystyle D} is the massless Dirac operator) is replaced by the Ginsparg–Wilson equation D γ 5 + γ 5 D = a D γ 5

Hans Duistermaat (1,725 words) [view diff] exact match in snippet view article find links to article

(2011), The heat kernel Lefschetz fixed point formula for the Spinc dirac operator, Boston: Birkhäuser, ISBN 978-0-8176-8247-7; Duistermaat, J. J. (1996)

Dirac–Kähler equation (1,677 words) [view diff] exact match in snippet view article find links to article

equation is motivated by noting that this is also the property of the Dirac operator, yielding Dirac–Kähler equation ( d − δ + m ) Φ = 0. {\displaystyle

Quantization commutes with reduction (266 words) [view diff] exact match in snippet view article find links to article

MR 1325798. Meinrenken, Eckhard (1998), "Symplectic surgery and the Spinc-Dirac operator", Advances in Mathematics, 134 (2): 240–277, arXiv:dg-ga/9504002, doi:10

Eckhard Meinrenken (552 words) [view diff] case mismatch in snippet view article find links to article

Meinrenken, Eckhard (1998-03-25). "Symplectic Surgery and the Spinc–Dirac Operator". Advances in Mathematics. 134 (2): 240–277. doi:10.1006/aima.1997.1701

Kramers–Wannier duality (1,200 words) [view diff] exact match in snippet view article find links to article

of the Potts model in one dimension, F. Y. Wu arXiv:hep-lat/0110063, Dirac operator and Ising model on a compact 2D random lattice, L.Bogacz, Z.Burda, J

Discrete series representation (1,366 words) [view diff] exact match in snippet view article find links to article

ISSN 0003-486X, JSTOR 1970635, MR 0274657 Parthasarathy, R. (1972), "Dirac operator and the discrete series", Annals of Mathematics, Second Series, 96 (1):

Christian Bär (199 words) [view diff] case mismatch in snippet view article find links to article

S2CID 121417796. Bär, Christian (1998). "Extrinsic Bounds for Eigenvalues of the Dirac Operator". Annals of Global Analysis and Geometry. 16 (6). Springer Science and

H. Blaine Lawson (954 words) [view diff] exact match in snippet view article find links to article

Mikhael; Lawson, H. Blaine Jr. (1983). "Positive scalar curvature and the Dirac operator on complete Riemannian manifolds". Publications Mathématiques de l'Institut

Daniel Kastler (1,174 words) [view diff] exact match in snippet view article find links to article

doi:10.1007/BF01609126. S2CID 122319446. Kastler, Daniel (1995). "The Dirac operator and gravitation". Communications in Mathematical Physics. 166 (3): 633–644

Peter Trapa (285 words) [view diff] exact match in snippet view article find links to article

Shimura correspondence for split reductive groups and introduced a Dirac operator for p-adic spaces. He was named a Fellow of the American Mathematical

Quantum spacetime (3,163 words) [view diff] exact match in snippet view article find links to article

reasonable choice of this algebra, its representation and extended Dirac operator, the Standard Model of elementary particles can be recovered. In this

Electron magnetic moment (3,355 words) [view diff] exact match in snippet view article find links to article

matrices) and i is the imaginary unit. A second application of the Dirac operator will now reproduce the Pauli term exactly as before, because the spatial

Ilka Agricola (733 words) [view diff] exact match in snippet view article find links to article

Agricola, Ilka (2003), "Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory", Communications in Mathematical

Richard Schoen (3,281 words) [view diff] exact match in snippet view article find links to article

Mikhael; Lawson, H. Blaine, Jr. Positive scalar curvature and the Dirac operator on complete Riemannian manifolds. Inst. Hautes Études Sci. Publ. Math

Localization formula for equivariant cohomology (530 words) [view diff] exact match in snippet view article find links to article

Eckhard (1998), "Symplectic surgery and the Spin c {\displaystyle ^{c}} —Dirac operator", Advances in Mathematics, 134 (2): 240–277, doi:10.1006/aima.1997.1701

Laplace–Beltrami operator (3,344 words) [view diff] exact match in snippet view article find links to article

order operator d + δ {\displaystyle \mathrm {d} +\delta } is the Hodge–Dirac operator. When computing the Laplace–de Rham operator on a scalar function f

Dirac equation (12,985 words) [view diff] exact match in snippet view article find links to article

_{\mu }-eA_{\mu })-mc\right)\psi =0~.} A second application of the Dirac operator will now reproduce the Pauli term exactly as before, because the spatial

Nearly Kähler manifold (782 words) [view diff] exact match in snippet view article find links to article

Friedrich, Thomas; Grunewald, Ralf (1985). "On the first eigenvalue of the Dirac operator on 6-dimensional manifolds". Ann. Global Anal. Geom. 3 (3): 265–273

Mikhael Gromov (mathematician) (3,749 words) [view diff] exact match in snippet view article

Mikhael; Lawson, H. Blaine Jr. (1983). "Positive scalar curvature and the Dirac operator on complete Riemannian manifolds". Publications Mathématiques de l'Institut

Seiberg–Witten invariants (2,592 words) [view diff] exact match in snippet view article find links to article

field X {\displaystyle X} . The Clifford connection then defines a Dirac operator D A = γ ⊗ 1 ∘ ∇ A = γ ( d x μ ) ∇ μ A {\displaystyle D^{A}=\gamma \otimes

Random matrix (7,081 words) [view diff] exact match in snippet view article find links to article

shifters). Random matrix theory has also found applications to the chiral Dirac operator in quantum chromodynamics, quantum gravity in two dimensions, mesoscopic

Kaluza–Klein theory (7,246 words) [view diff] exact match in snippet view article find links to article

dimension of the total space must be 2 mod 8, and the G-index of the Dirac operator of the compact space must be nonzero. The above development generalizes

Shing-Tung Yau (10,419 words) [view diff] exact match in snippet view article find links to article

Mikhael; Lawson, H. Blaine Jr. (1983). "Positive scalar curvature and the Dirac operator on complete Riemannian manifolds". Publications Mathématiques de l'Institut

Feynman diagram (16,023 words) [view diff] exact match in snippet view article find links to article

Dirac particles are as follows: The propagator is the inverse of the Dirac operator, the lines have arrows just as for a complex scalar field, and the diagram

List of women in mathematics (22,784 words) [view diff] exact match in snippet view article find links to article

1941), American researcher on complex geometry, spin manifolds, the Dirac operator, and algebraic cycles Ruth I. Michler (1967–2000), American commutative