Radiative Corrections for the Gauged Thirring Model in Causal Perturbation Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1007/s100520000276

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.

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