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Particles and Fields
Eur. Phys. J. C 12, 701-705
DOI 10.1007/s100520000276

Radiative corrections for the gauged Thirring model in causal perturbation theory

L.A. Manzoni1 - B.M. Pimentel1 - J.L. Tomazelli2

1 Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona, 145 01405-900 - São Paulo, S.P. Brazil
2 Departamento de Física e Química - Faculdade de Engenharia, Universidade Estadual Paulista - Campus de Guaratinguetá, Av. Dr. Ariberto Pereira da Cunha, 333 12500-000 - Guaratinguetá, S.P. Brazil

Received: 5 May 1999 / Published online: 27 January 2000 - © Springer-Verlag 2000 2000

Abstract
We evaluate the one-loop fermion self-energy for the gauged Thirring model in (2+1) dimensions, with one massive fermion flavor. We do this in the framework of the causal perturbation theory. In contrast to QED3, 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 non-renormalizable theories.


Copyright Springer-Verlag 2000