The Background-Field Method and Noninvariant Renormalization

Details The Background-Field Method and Noninvariant Renormalization The Background-Field Method and Noninvariant Renormalization

1994-11-03

arxiv.org/abs/hep-th/9411041v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LATEX

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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