The singular seesaw mechanism with hierarchical Dirac neutrino mass |
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| Authors: | Y. Chikira N. Haba Y. Mimura |
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| Affiliation: | Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona, 145 01405-900 – S?o Paulo, S.P. Brazil, BR
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, BR
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| 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 QED, 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. Received: 5 May 1999 / Published online: 27 January 2000 |
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