Matrix integrals as Borel sums of Schur function expansions
Exactly Solvable and Integrable Systems
2023-08-02 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The partition function for unitary two matrix models is known to be a double KP tau-function, as well as providing solutions to the two dimensional Toda hierarchy. It is shown how it may also be viewed as a Borel sum regularization of divergent sums over products of Schur functions in the two sequences of associated KP flow variables.
Cite
@article{arxiv.nlin/0209035,
title = {Matrix integrals as Borel sums of Schur function expansions},
author = {J. Harnad and A. Yu. Orlov},
journal= {arXiv preprint arXiv:nlin/0209035},
year = {2023}
}
Comments
PlainTex file. 8 pgs. Based on talk by J. Harnad at the workshop: Symmetry and Perturbation Theory 2002, Cala Gonoone (Sardinia), May 1-26, 2002. To appear in proceedings. (World Scientific, Singapore, eds. S. Abenda, G. Gaeta). Typographical correction made to formula (2.7) to include previously omitted powers of r and x