- #1
dm4b
- 363
- 4
I think I'm missing something real simple on trace theorems and Dirac matrices, but am just not seeing it.
In the Peskin and Schroeder QFT text on page 135 we have:
gamma^(mu)*gamma^(nu)*gamma_(mu) = -2*gamma^(nu)
But, why can't we anti-commute and obtain the following:
gamma^(mu)*gamma^(nu)*gamma_(mu)
= -gamma^(nu)*gamma^(mu)*gamma_(mu)
= -4*gamma^(nu)
which contradicts the equation above?
Any help would be much appreciated. Thanks!
P.S. ^=superscript, and _=subscript (LATEX wasn't working for me)
In the Peskin and Schroeder QFT text on page 135 we have:
gamma^(mu)*gamma^(nu)*gamma_(mu) = -2*gamma^(nu)
But, why can't we anti-commute and obtain the following:
gamma^(mu)*gamma^(nu)*gamma_(mu)
= -gamma^(nu)*gamma^(mu)*gamma_(mu)
= -4*gamma^(nu)
which contradicts the equation above?
Any help would be much appreciated. Thanks!
P.S. ^=superscript, and _=subscript (LATEX wasn't working for me)
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