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Results tagged with chirality
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user 37286
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.
6
votes
Accepted
Two conflicting definitions of chirality
I think your problem is mostly a problem of notation. If you write two Weyl spinors inside a Dirac spinor, you should use different symbols to avoud confusion, i.e.
$$\psi = \begin{pmatrix} \xi_L \\ …
- 10.3k
1
vote
Accepted
Dirac spinor and Lorentz group
The Lie algebra of the Lorentz group can be understood as two copies of the $SU(2)$ Lie algebra. Representations of $SU(2)$ can be labelled by half integers $(0,1/2,1,\ldots)$. (This should be familia …
- 10.3k
9
votes
Are there really left-chiral particles?
Chirality and therefore weak isospin are not conserved quantities. …
- 10.3k
0
votes
Is Parity really violated? (Even though neutrinos are massive)
Okay, I think I have an idea why the terminology is used, but I think this argument makes little sense:
The Lagrangian term describing weak interactions is of the form
$$ \bar \Psi \gamma_\mu P_L …
- 10.3k