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Apr 30, 2016 at 23:29 history bounty ended CommunityBot
Apr 29, 2016 at 19:39 history edited OON CC BY-SA 3.0
corrected the creation-annihilation mishmash
Apr 29, 2016 at 19:15 history edited OON CC BY-SA 3.0
Added about chirality of the antiparticles
Apr 29, 2016 at 19:14 comment added OON @knzhou After rethinking the question again I'm adding something on the chirality of the antiparticle
Apr 29, 2016 at 6:24 comment added OON @knzhou "That of course makes a chirality matter of convention on what spinor we are using to describe the particle." More exactly, to describe particle-antiparticle pair.
Apr 29, 2016 at 6:14 comment added OON @knzhou Yeah, seems that's the crux of the problem. While helicity is connected to the spin and momentum the chirality is defined in terms of the spinor that we use to describe that particle and not the (anti)particle state itself. The helicity operator is $\frac{\vec{p}}{|p}\dot\vec{S}$, the chirality operator is $\gamma_5$. If you apply them to the antiparticle state coming from the chiral spinor you'll get opposite signs. That of course makes a chirality matter of convention on what spinor we are using to describe the particle.
Apr 29, 2016 at 5:02 comment added knzhou Also: what would you call the chirality of a right-helicity antiparticle arising from a left-handed Weyl spinor? Now that I'm thinking about it, this is the main source of the contradictions: different people call it right-handed or left-handed.
Apr 29, 2016 at 4:54 comment added knzhou Okay, let's start with the Wikipedia article, which states that C "does not alter the chirality of particles. A left-handed neutrino would be taken by charge conjugation into a left-handed antineutrino." Are they conflating chirality and helicity here?
Apr 29, 2016 at 4:41 comment added OON @knzhou Ok, to look into those contradictions surely will be fun and likely instructive.
Apr 28, 2016 at 22:00 comment added knzhou Thanks for the answer! My issue is that everybody (you, the linked article, several other answerers) appears to agree that this stuff is straightforward, but end up saying slightly different things. I'll link you to some contradicting answers if I have time later.
Apr 28, 2016 at 7:44 history edited OON CC BY-SA 3.0
forgot gamma zero... and forgot dagger
Apr 28, 2016 at 7:06 history answered OON CC BY-SA 3.0