Matrix integrals as Borel sums of Schur function expansions

Details Matrix integrals as Borel sums of Schur function expansions Matrix integrals as Borel sums of Schur function expansions

2002-09-17

arxiv.org/abs/nlin/0209035v2

In: Symmetries and Perturbation theory SPT2002, eds. S. Abenda and G. Gaeta and S. Walcher (World Scientific, Singapore), 2003

Nonlinear Sciences

Exactly Solvable and Integrable Systems

PlainTex file. 8 pgs. Based on talk by J. Harnad at the workshop: Symmetry and Perturbation Theory 2002, Cala Gonoone (Sardini

Scientific paper

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.

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