ar X iv : 1 61 1 . 02 24 8 v 1 [ nl in . S I ] 7 N ov 2 01 6 Instantons in σ model and tau functions

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 model is an example of such an approach. 

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