Cheat sheets/Gamma matrices

I = identity

Basic properties

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

Gamma matrices

• ${\gamma }^{\mu }{\gamma }_{\mu }=4I$

Trace relations

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

See also

• w:Clifford algebra