Anomalous Commutators and the Triangle Diagram

Abstract

We consider matrix elements of the axial-vector current in spinor electrodynamics, and develop the change in the usual reduction formalism caused by the presence of the axial-vector-current-two-photon triangle diagram. When at most one photon is reduced in from the external states, we are able to characterize the anomalous behavior of the triangle diagram entirely in terms of a consistent set of anomalous field-current and current-current commutators.