Abstract

A fairly complete study of the renormalization of F a μν F μνa is presented in the gauge in which it is simplest: the background field gauge. This gauge allows one to go to second-order perturbation theory without evaluating a single Feynman integral. The use of the equations of motion, the gauge invariance of a classically gauge-invariant renormalized operator and the renormalization group invariance are studied. Its two-loop anomalous dimension is given and its relation to the trace anomaly obtained.

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