Noninvariant renormalization in the background-field method

Details Noninvariant renormalization in the background-field method Noninvariant renormalization in the background-field method

1996-10-21

arxiv.org/abs/hep-th/9610158v1

Published in Zvenigorod 94, Proceedings, High Energy Physics and Quantum Field Theory, 248-254

Physics

High Energy Physics

High Energy Physics - Theory

Talk given at 9th International Workshop on High Energy Physics and Quantum Field Theory (NPI MSU95), Zvenigorod, Russia, 19-2

Scientific paper

We investigate the consistency of the background-field formalism when applying various regularizations and renormalization schemes. By an example of a two-dimensional $\sigma$ 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.

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