Radiative Corrections for the Gauged Thirring Model in Causal Perturbation Theory

Abstract

We evaluate the one-loop fermion self-energy for the gauged Thirring model in (2+1) dimensions, with one massive fermion flavor, in the framework of the causal perturbation theory. In contrast to QED${}_3$, the corresponding two-point function turns out to be infrared finite on the mass shell. Then, by means of a Ward identity, we derive the on-shell vertex correction and discuss the role played by causality for nonrenormalizable theories.

arXiv commentLaTex, 09 pages, no figures. Title changed and introduction enlarged. To be published in Eur. Phys. J. C

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