9.1 -Matrizen

$\displaystyle \Tr$ (1)	=	4	(9.1)
$\displaystyle \Tr$ ( $\displaystyle \mbox{ungerade Zahl von $\gamma$'s}$ )	=	0	(9.2)
$\displaystyle \Tr$ ( $\displaystyle \gamma^{\mu}_{}$ $\displaystyle \gamma^{\nu}_{}$ )	=	4g	(9.3)
$\displaystyle \Tr$ ( $\displaystyle \gamma^{\mu}_{}$ $\displaystyle \gamma^{\nu}_{}$ $\displaystyle \gamma^{\rho}_{}$ $\displaystyle \gamma^{\sigma}_{}$ )	=	4(gg - gg + gg)	(9.4)
$\displaystyle \Tr$ ( $\displaystyle \gamma^{5}_{}$ )	=	0	(9.5)
$\displaystyle \Tr$ ( $\displaystyle \gamma^{\mu}_{}$ $\displaystyle \gamma^{\nu}_{}$ $\displaystyle \gamma^{5}_{}$ )	=	0	(9.6)
$\displaystyle \Tr$ ( $\displaystyle \gamma^{\mu}_{}$ $\displaystyle \gamma^{\nu}_{}$ $\displaystyle \gamma^{\rho}_{}$ $\displaystyle \gamma^{\sigma}_{}$ $\displaystyle \gamma^{5}_{}$ )	=	-4i $\displaystyle \varepsilon^{\mu \nu \rho \sigma}_{}$	(9.7)
$\displaystyle \Tr$ ( $\displaystyle \gamma^{\mu}_{}$ $\displaystyle \gamma^{\nu}_{}$ $\displaystyle \gamma^{\rho}_{}$ $\displaystyle \gamma^{\sigma}_{}$ ^...)	=	$\displaystyle \Tr$ (^... $\displaystyle \gamma^{\sigma}_{}$ $\displaystyle \gamma^{\rho}_{}$ $\displaystyle \gamma^{\mu}_{}$ $\displaystyle \gamma^{\nu}_{}$ ^...)	(9.8)
$\displaystyle \gamma^{\mu}_{}$ $\displaystyle \gamma_{\nu}^{}$	=	4	(9.9)
$\displaystyle \gamma^{\mu}_{}$ $\displaystyle \gamma^{\nu}_{}$ $\displaystyle \gamma_{\mu}^{}$	=	-2 $\displaystyle \gamma^{\nu}_{}$	(9.10)
$\displaystyle \gamma^{\mu}_{}$ $\displaystyle \gamma^{\nu}_{}$ $\displaystyle \gamma^{\rho}_{}$ $\displaystyle \gamma_{\mu}^{}$	=	4g	(9.11)
$\displaystyle \gamma^{\mu}_{}$ $\displaystyle \gamma^{\nu}_{}$ $\displaystyle \gamma^{\rho}_{}$ $\displaystyle \gamma^{\sigma}_{}$ $\displaystyle \gamma_{\mu}^{}$	=	-2 $\displaystyle \gamma^{\rho}_{}$ $\displaystyle \gamma^{\sigma}_{}$ $\displaystyle \gamma^{\nu}_{}$	(9.12)