Cheat sheets/Gamma matrices
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Cheat sheets
I = identity
Basic properties
{
γ
μ
,
γ
ν
}
=
2
g
μ
ν
{\displaystyle \{\gamma ^{\mu },\gamma ^{\nu }\}=2g^{\mu \nu }}
Gamma matrices
γ
μ
γ
μ
=
4
I
{\displaystyle \gamma ^{\mu }\gamma _{\mu }=4I}
Trace relations
Tr
(
γ
μ
γ
ν
)
=
4
g
μ
ν
{\displaystyle {\textrm {Tr}}(\gamma ^{\mu }\gamma ^{\nu })=4g^{\mu \nu }}
Tr
(
γ
μ
γ
ν
γ
5
)
=
0
{\displaystyle {\textrm {Tr}}(\gamma ^{\mu }\gamma ^{\nu }\gamma ^{5})=0}
See also
w:Clifford algebra
