English

Covariant calculation of the partition function of the two-dimensional sigma model on compact two-surfaces

High Energy Physics - Theory 2023-01-10 v1

Abstract

Motivated by string theory connection, a covariant procedure for perturbative calculation of the partition function of the two-dimensional generalized σ\sigma-model is considered. The importance of a consistent regularization of the measure in the path integral is emphasized. The partition function is computed for a number of specific 2-manifolds: sphere, disk and torus.

Keywords

Cite

@article{arxiv.2301.02867,
  title  = {Covariant calculation of the partition function of the two-dimensional sigma model on compact two-surfaces},
  author = {O. D. Andreev and R. R. Metsaev and A. A. Tseytlin},
  journal= {arXiv preprint arXiv:2301.02867},
  year   = {2023}
}

Comments

17 p. English translation of an article published in Yad. Fiz. 51 (1990) 564-576