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nlin.SI2023
Sigma model instantons and singular tau function
E. N. Antonov, A. Yu. Orlov
The generating series for the instanton contribution to Green functions of the sigma model was found in the works of Schwarz, Fateev and Frolov. We show that this series can b…
nlin.SI2016
Instantons in model and tau functions
A. N. Antonov, A. Yu. Orlov
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) model is an…