One-loop divergences in anomaly-free non-Abelian axial models

Abstract

We consider one-loop divergences in a four-dimensional model in which a non-Abelian vector field has an axial vector coupling with a massless left-handed spinor field. This is done by computing the diagonal element of the second Seeley–deWitt coefficient a 2 (x,x). Even when the coupling is such that the axial anomaly vanishes, divergences arise that are not gauge invariant. Operator regularization is used throughout so as to leave the matrix γ 5 unambiguously defined. PACS No.: 11.15.q

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