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searching for Spin representation 14 found (35 total)

Wigner's classification (1,478 words) [view diff] no match in snippet view article find links to article

⁠1/2⁠ called the helicity, and the other called the "continuous spin" representation. For the third case The only finite-dimensional unitary solution

Helicity (particle physics) (806 words) [view diff] exact match in snippet view article

non-trivially under the SE(2) translations. This is the continuous spin representation. In d + 1 dimensions, the little group is the double cover of SE(d

Anomaly (physics) (2,809 words) [view diff] exact match in snippet view article

can have the new SU(2) anomaly. For fermions in the half-integer spin representation, it is shown that there are only these two types of SU(2) anomalies

Bispinor (3,655 words) [view diff] exact match in snippet view article find links to article

remains to choose a set of Dirac matrices γμ in order to obtain the spin representation S. One such choice, appropriate for the ultrarelativistic limit,

Gamma matrices (7,254 words) [view diff] exact match in snippet view article find links to article

representation of the Lie algebra of the Lorentz group. This is a spin representation. When these matrices, and linear combinations of them, are exponentiated

Weyl–Brauer matrices (1,630 words) [view diff] exact match in snippet view article find links to article

space and its dual are not isomorphic. Thus, while there is only one spin representation in odd dimensions, there are a pair of inequivalent pin representations

Pauli matrices (7,495 words) [view diff] exact match in snippet view article find links to article

mentioned above, iσj are the generators of a projective representation (spin representation) of the rotation group SO(3) acting on non-relativistic particles

Rotation matrix (15,724 words) [view diff] exact match in snippet view article find links to article

More importantly in applications to physics, the corresponding spin representation of the Lie algebra sits inside the Clifford algebra. It can be exponentiated

Dirac algebra (2,342 words) [view diff] exact match in snippet view article find links to article

\left({\frac {1}{2}},0\right)\oplus \left(0,{\frac {1}{2}}\right)} spin representation. The exponential map for matrices is well defined. The S μ ν {\displaystyle

Spinors in three dimensions (2,626 words) [view diff] exact match in snippet view article find links to article

representation theory, this implies that there is only one irreducible spin representation of SO(3) (or SO(2,1)) up to isomorphism. If, however, reversals (e

Glossary of string theory (5,167 words) [view diff] exact match in snippet view article find links to article

of the world-sheet metric. 3. Weyl spinor, an element of a half-spin representation in even spacetime dimensions. WIMP Weakly interacting massive particle

RNS formalism (4,752 words) [view diff] exact match in snippet view article find links to article

other half to the R− sector. These states are classified by what spin representation of the SO ( 8 ) {\displaystyle {\text{SO}}(8)} group they belong

Grassmannian (8,402 words) [view diff] exact match in snippet view article find links to article

diffeomorphic to the projectivized minimal spinor orbit, under the spin representation, the so-called projective pure spinor variety which, similarly to

Vertex operator algebra (8,906 words) [view diff] exact match in snippet view article find links to article

modules of lowest weight 0 and 1/2. One may also describe it as a spin representation of the Clifford algebra on the quadratic space t1/2C[t,t−1](dt)1/2