Matrix Models vs. Matrix Integrals
High Energy Physics - Theory
2011-07-19 v1
Abstract
In a brief review, we discuss interrelations between arbitrary solutions of the loop equations that describe Hermitean one-matrix model and particular (multi-cut) solutions that describe concrete matrix integrals. These latter ones enjoy a series of specific properties and, in particular, are described in terms of Seiberg-Witten-Whitham theory. The simplest example of ordinary integral is considered in detail.
Cite
@article{arxiv.hep-th/0506158,
title = {Matrix Models vs. Matrix Integrals},
author = {A. Mironov},
journal= {arXiv preprint arXiv:hep-th/0506158},
year = {2011}
}
Comments
10 pages, contribution to the International Workshop "Classical and Quantum Integrable Systems", Dubna, Russia, 2005