The Background-Field Method and Noninvariant Renormalization

L. V. Avdeev; D. I. Kazakov; M. Yu. Kalmykov

The Background-Field Method and Noninvariant Renormalization

高能物理 - 理论 2007-05-23 v1

作者: L. V. Avdeev , D. I. Kazakov , M. Yu. Kalmykov

摘要

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.

关键词

renormalization in quantum field theory renormalization group quantum field theory

引用

@article{arxiv.hep-th/9411041,
  title  = {The Background-Field Method and Noninvariant Renormalization},
  author = {L. V. Avdeev and D. I. Kazakov and M. Yu. Kalmykov},
  journal= {arXiv preprint arXiv:hep-th/9411041},
  year   = {2007}
}

备注

12 pages, LATEX

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