Student Friendly Introduction to QFT · Problem 32

Vectors: Spin 1 Fields

Physics — QFT · gamma-matrix-slash-notation

Problem

Prove (4-160). (Hint: Use the Dirac matrices anti-commutation relations (4-157) in

\not{p}\not{p} = p_\mu \gamma^\mu p_\nu \gamma^\nu = p_\mu p_\nu \gamma^\mu \gamma^\nu = p_0 p_0 \gamma^0 \gamma^0 + p_0 p_1 \gamma^0 \gamma^1 + \ldots + p_1 p_0 \gamma^1 \gamma^0 + \ldots)