Cheat sheets/Gamma matrices

I = identity

Basic properties

• $\{\gamma ^{\mu },\gamma ^{\nu }\}=2g^{\mu \nu }$

Gamma matrices

• $\gamma ^{\mu }\gamma _{\mu }=4I$

Trace relations

• ${\textrm {Tr}}(\gamma ^{\mu }\gamma ^{\nu })=4g^{\mu \nu }$
• ${\textrm {Tr}}(\gamma ^{\mu }\gamma ^{\nu }\gamma ^{5})=0$

See also

• w:Clifford algebra