1996/10/21 by L. V. Avdeev, D. I. Kazakov, M. Yu. Kalmykov
Physics and Astronomy · #hep-th
published as Published in Zvenigorod 94, Proceedings, High Energy Physics and Quantum Field Theory, 248-254 · 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
arxiv created 1996/10/21 · arxiv updated 2009/11/30
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.