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arxiv: 1611.02248 · v2 · pith:ZZY3V554new · submitted 2016-11-07 · 🌊 nlin.SI · math-ph· math.MP

Instantons in σ model and tau functions

classification 🌊 nlin.SI math-phmath.MP
keywords functionsmodelsigmaapproachcontributionsexamplehierarchiesinstanton
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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)$\ \sigma $ model is an example of such an approach.

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