Semiclassical expansions in the Toda hierarchy and the hermitian matrix model
Exactly Solvable and Integrable Systems
2009-11-13 v1
Abstract
An iterative algorithm for determining a class of solutions of the dispersionful 2-Toda hierarchy characterized by string equations is developed. This class includes the solution which underlies the large N-limit of the Hermitian matrix model in the one-cut case. It is also shown how the double scaling limit can be naturally formulated in this scheme
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Cite
@article{arxiv.0706.0592,
title = {Semiclassical expansions in the Toda hierarchy and the hermitian matrix model},
author = {L. Martinez Alonso and E. Medina},
journal= {arXiv preprint arXiv:0706.0592},
year = {2009}
}
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22 pages