Standard Model and Beyond · Problem 2.9

Lie Groups, Lie Algebras, and Symmetries

Physics — Particle Physics · sigma-mu-nu-gamma5-identity

Problem

Prove directly from the defining relations that σμνγ5=−i2ϵμνρσσρσ.\sigma^{\mu\nu}\gamma^5 = -\frac{i}{2}\epsilon^{\mu\nu\rho\sigma}\sigma_{\rho\sigma}.

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