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Results tagged with chirality
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user 44126
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
Accepted
Electron indistintinguishability and handedness
A massive electron in its rest frame is a mixture of left- and right-handed components. All electrons mix the same way, and so they remain indistinguishable.
rob♦
- 94.2k
3
votes
Were electrons initially left-handed, as neutrinos still are today?
There is a correlation between chirality and spin which appears at high momentum; chirality is a frame-dependent observable. …
rob♦
- 94.2k
8
votes
How can helicity be conserved but chirality not?
Helicity (the correlation of spin and momentum) and chirality (whether a particle couples to the left-handed or right-handed part of the weak interaction) are strongly correlated in the relativistic limit …
rob♦
- 94.2k
3
votes
Accepted
On weak interaction and right-handed particles
But for the particles with $c_V\neq c_A$, the selection of one chirality is imperfect, and it is $\left(c_V - c_A\gamma^5\right)$ which includes some of the wrong-chirality state in the interaction. … I don't know why your picture of a table is typeset as if $c_V,c_A$ are attached to one chirality. That choice may or may not be explained in the text surrounding that table in your source. …
rob♦
- 94.2k
1
vote
Are there in nature any Right Chiral isolated electron particles?
But if I run past you relativistically, I’ll see your electron as one chirality or the other depending on whether I run at its “north pole” or its “south pole.” …
rob♦
- 94.2k
27
votes
A thought experiment about neutrinos
Since there are now several comments and answers pointing out that chirality, unlike helicity, is invariant under boosts, I should clarify. … A particle with Dirac-type mass cannot have definite chirality in its rest frame, and therefore cannot have constant chirality in any other frame. …
rob♦
- 94.2k
1
vote
Experimental distinction between neutrinos and antineutrinos
Lepton number is conserved in charged-current interactions (and, so far as we know, everywhere else). When a matter neutrino undergoes charged-current scattering, by emitting/absorbing a $W^\pm$, it c …
rob♦
- 94.2k
7
votes
Is Parity really violated? (Even though neutrinos are massive)
You seem to be confusing the relationship between parity, helicity, and chirality in the modern standard model with the physical symmetry operation of spatial inversion. …
rob♦
- 94.2k
2
votes
Does particle parity play any role in matter anti-matter annihilation?
Be careful not to confuse parity, helicity, and chirality. Parity is the transformation which inverts a system’s coordinate axes, which has the same effect as a mirror reflection (plus a rotation). … However, chirality is frame-dependent. In its rest frame, a massive particle is equal parts left- and right-chiral, thanks to the term $m\psi_L\psi_R$ in the Lagrangian. …
rob♦
- 94.2k