A. Zee, Quantum Field Theory in a Nutshell · Problem IV.5.3

Field Theory Redux

Physics — QFT

Problem

In 4-dimensions ϵμνλρ\epsilon^{\mu\nu\lambda\rho} tr FμνFλρF_{\mu\nu}F_{\lambda\rho} can be written as tr F~2\tilde{F}^2. Show that dd tr F~2=0\tilde{F}^2 = 0 in any dimension.

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