Abstract
The renormalization of the three pseudoscalar gauge invariant operators which appear in the Adler-Bell-Jackiw anomaly is studied in the back-ground field gauge, where it is simplest. We analyse questions concerning renormalization-group invariance, mixing, the γ5-perscription inD dimensions, as well as the meaning of the nonrenormalization of the axial anomaly in the context of the renormalization of composite operators.
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