A. Zee, Quantum Field Theory in a Nutshell · Problem IV.5.4

Field Theory Redux

Physics — QFT

Problem

Invoking the Poincaré lemma (IV.4.5) and the result of exercise IV.5.3 show that tr F~2=d\tilde{F}^2 = d tr(AdA~)(Ad\tilde{A}). Write this last equation out explicitly with indices. Identify these quantities in the case of electromagnetism.

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