gamma 4d

Its eigenvalues are ±1, because: ( γ 5 ) 2 = I 4 . {\displaystyle \left (\gamma ^ {5}\right)^ {2}=I_ {4}~.} It anticommutes with the four gamma matrices: { γ 5 , γ μ } = γ 5 γ μ + γ μ γ 5 = 0 . {\displaystyle \left\ {\gamma ^ {5},\gamma ^ {\mu }\right\}=\gamma ^ {5}\gamma ^ {\mu }+\gamma ^ {\mu }\gamma ^ {5}=0~.} luxury 4d