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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.

1 vote

What is the relation between the Higgs field and chirality?

Basically, each fermion and its corresponding antifermion in the standard model comes in two varieties, which have opposite chirality. …
David Z's user avatar
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14 votes

Is there any situation in Physics where the Right Hand Rule is not arbitrary?

No, it really is arbitrary. The reason we use the right hand rule today (although it may have been chosen for different reasons of convenience in the past) is simply that our coordinate system of choi …
David Z's user avatar
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