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Consistency in regularizations of the gauged NJL model at the one loop level

1998/11/16 by O. A. Battistel, M. C. Nemes
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #hep-th

paper · pdf · doi:10.1103/physrevd.59.055010

published as Phys.Rev. D59 (1999) 055010 · 22 pages, no figures, LaTeX, to appear in Phys.Rev.D

arxiv created 1998/11/16 · openalex publication_date 1999/02/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we reexamine questions recently raised in the literature associated with relevant but divergent amplitudes in the gauged NJL model. The questions raised involve ambiguities and symmetry violations which concern the model's predictive power at the one loop level. Our study shows, by means of an alternative prescription to handle divergent amplitudes, that it is possible to obtain unambiguous and symmetry preserving amplitudes. The procedure adopted makes use solely of general properties of an eventual regulator, thus avoiding an explicit form. We find, after a thorough analysis of the problem, that there are well established conditions to be satisfied by any consistent regularization prescription in order to avoid the problems of concern at the one loop level.

Citations