Noninvariant renormalization in the background-field method

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We investigate the consistency of the background-field formalism when applying various regularizations and renormalization schemes. By an example of a two-dimensional $σ$ model it is demonstrated that the background-field method gives incorrect results when the regularization (and/or renormalization) is noninvariant. In particular, it is found that the cut-off regularization and the differential renormalization belong to this class and are incompatible with the background-field method in theories with nonlinear symmetries.
Talk given at 9th International Workshop on High Energy Physics and Quantum Field Theory (NPI MSU95), Zvenigorod, Russia, 19-26 Sep 1995, 7 pages, LaTeX

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/54777

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9610158
 http://arxiv.org/abs/hep-th/9610158
 Published in Zvenigorod 94, Proceedings, High Energy Physics and Quantum Field Theory, 248-254

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