Talk:Gamma matrices
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[edit] Identity 5
I'm not sure about trace identity 5, it seems that plugging in 0123 for \mu\nu\rho\sigma gives a sign mismatch. My field theory book has the identity with the sign as in the article, though, so I'm hesitant to change it.JochemKaas 01:33, 16 December 2006 (UTC) —The preceding unsigned comment was added by JochemKaas (talk • contribs) 01:37, 16 December 2006 (UTC)
[edit] Chiral definition
I fixed a sign on the chiral definition, as the text said that γi stays the same, as does my book... —The preceding unsigned comment was added by 131.111.225.229 (talk • contribs) 22:31, 12 January 2007 (UTC)
[edit] Not a vector
The gamma matrices, despite the suggestive notation, do not form a contravariant vector in any sense (neither a covariant vector or any other kind of vector). In fact, the gamma matrices remain unchanged under Lorentz transformations. A contravariant vector would change as v^{\prime \mu} = L^{\mu}_{\nu} v^{\nu}, where L is the Lorentz transformation matrix (and similar for covariant vectors).
...so, to be quite clear what I mean: The first sentence of the article is wrong, they don't form a 4-vector. —The preceding unsigned comment was added by 137.222.58.13 (talk • contribs) 13:17, 22 February 2007 (UTC)
- Yes, and the section "Physical structure" goes into detail on exactly this issue. Please edit the lead to reflect that information! Melchoir 01:21, 23 February 2007 (UTC)
