Radiative corrections for the gauged Thirring model in causal perturbation theory

Radiative corrections for the gauged Thirring model in causal perturbation theory

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 QED\(_3\), the corresponding two-point function turns out to be infrared finite on the mass s...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2000-02, Vol.12 (4), p.701-705
Hauptverfasser: Manzoni, L.A., Pimentel, B.M., Tomazelli, J.L.
Format: Artikel
Sprache:eng
Schlagworte:
Fermions
Perturbation methods
Perturbation theory
Quantum electrodynamics
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Zusammenfassung: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 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 non-renormalizable theories.
ISSN:1434-6044
1434-6052
DOI:10.1007/s100520000276