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Chirality is defined through the ±1 eigenvalue under action of γ^5 on ψ, a Dirac field thus projected into its left- or right-handed component by the projection operators (1−γ^5)/2 or (1+γ^5)/2 on ψ. For massless particles (only!) chirality coincides with [helicity], a notion which is frame-dependent, and hence ambiguous for massive particles. Avoid using the [helicity] tag instead: the projectors *must* be implied.

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Nielsen-Ninomiya theorem

The Nielsen-Ninomiya theorem states that for a local, Hermitian, translationally invariant lattice fermion theory in even-dimensional spacetime, the number of left-handed Weyl fermions is equal to the …
Nuraddin Valibekov's user avatar