English

Instantons in $\sigma$ model and tau functions

Exactly Solvable and Integrable Systems 2019-02-22 v2 Mathematical Physics math.MP

Abstract

We show that a number of multiple integrals may viewed as tau functions of various integrable hierarchies. The instanton contributions in the two-dimensional O(3) σ\ \sigma model is an example of such an approach.

Keywords

Cite

@article{arxiv.1611.02248,
  title  = {Instantons in $\sigma$ model and tau functions},
  author = {A. N. Antonov and A. Yu. Orlov},
  journal= {arXiv preprint arXiv:1611.02248},
  year   = {2019}
}
R2 v1 2026-06-22T16:44:44.945Z