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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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Why do chiral objects only come in pairs?

Now, in 1D, we have only one degree of chirality (there's only one reflection, and no rotation), so, by induction, there is only one degree of chirality for any number of dimensions. … Let's take a non-chemistry example, since I don't want to start drawing Fischer projections(a way of turning 3D chirality into 2D chirality). …
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