Timeline for Co-spinors and contra-spinors

9 events

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Sep 28, 2023 at 20:12	comment	added	NinjaDarth		Referring to the notation set up in my reply, the 4-component spinors come out of $𝟮⊕\bar{𝟮}$, where the metric $g$ splits into $ε⊗\bar{ε}$, with $ε$ being the metric for the $𝟮$ part and $\bar{ε}$ the metric for the $\bar{𝟮}$ part. By convention $𝟮$ is deemed the right-handed helicity part, $\bar{𝟮}$ the left-handed helicity part. The distinction involves parity. For fermions with positive rest mass, the Dirac equation entails an oscillation between the two parts.
Sep 26, 2023 at 7:20	history	edited	Qmechanic♦	CC BY-SA 4.0	Added explanation
Nov 12, 2020 at 4:03	comment	added	timur		I see, so for example, would this distinction become important for 4-component spinors?
Nov 11, 2020 at 16:38	comment	added	Qmechanic♦		Yes, for the spinors discussed here.
Nov 11, 2020 at 16:11	comment	added	timur		Thanks! So the distinction between co- and contra-spinors are not as important as that between co- and contra-vectors? Namely, you would need a metric to identify co- and contra-vectors. For co- and contra-spinors, are you saying that the "metric" is already there?
Oct 14, 2019 at 7:48	history	edited	Qmechanic♦	CC BY-SA 4.0	Added explanation
Oct 13, 2019 at 21:19	history	edited	Qmechanic♦	CC BY-SA 4.0	Added explanation
Oct 13, 2019 at 20:46	vote	accept	CommunityBot
Oct 13, 2019 at 18:19	history	answered	Qmechanic♦	CC BY-SA 4.0