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Tagged with anticommutator special-relativity
3
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(Anti)commutation relations for higher-dimensional anti-symmetrized Gamma matrices
Suppose $a,b,c...=0,....,D-1$ are Lorentz indices of $SO(1,D-1)$ tangent space and consider $D$-dimensional Clifford algebra defined by the usual anticommutation relation
$$\{\Gamma^a,\Gamma^b\}=2\eta^...
- 123
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How are Grassmann fields "forced upon us" by representation theory of $SO(d-1,1)$?
I would like to know if anticommuting fields (which physicists use as fermions) emerge naturally from the spin representation theory of $SO(d-1,1)$. Is the fact that spinor fields anticommute a ...
- 1,982
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In QFT, why do fermions have to anticommute in order to insure causality?
I have seen this question and I believe I understand the answer to it. However, AFAIK, only for bosons the causality condition is a vanishing commutator. For fermions we expect the anticommutator $[\...
