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arXiv · hep-th/9411041

The Background-Field Method and Noninvariant Renormalization

L. V. Avdeev·D. I. Kazakov·M. Yu. Kalmykov
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Abstract

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.

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L. V. Avdeev, D. I. Kazakov, M. Yu. Kalmykov. 1994-11-03. The Background-Field Method and Noninvariant Renormalization. https://arxiv.org/abs/hep-th/9411041

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