No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences

• Autor(a) principal: Del Cima, O. M.
• Data de Publicação: 2017
• Outros Autores: Franco, D. H. T., Piguet, O.
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: LOCUS Repositório Institucional da UFV
• Texto Completo: https://doi.org/10.1007/JHEP11(2017)011; http://www.locus.ufv.br/handle/123456789/21720
• topic: Anomalies in Field and String Theories; BRST Quantization; Renormalization Regularization and Renormalons; Space-Time Symmetries

The issue intensively claimed in the literature on the generation of a CPT-odd and Lorentz violating Chern-Simons-like term by radiative corrections owing to a CPT violating interaction — the axial coupling of fermions with a constant vector field bμ — is mistaken. The presence of massless gauge field triggers IR divergences that might show up from the UV subtractions, therefore, so as to deal with the (actual physical) IR divergences, the Lowenstein-Zimmermann subtraction scheme, in the framework of BPHZL renormalization method, has to be adopted. The proof on the non generation of such a Chern-Simons-like term is done, independent of any kind of regularization scheme, at all orders in perturbation theory.