Exact 2-point function in Hermitian matrix model
High Energy Physics - Theory
2009-12-07 v1
Abstract
J. Harer and D. Zagier have found a strikingly simple generating function for exact (all-genera) 1-point correlators in the Gaussian Hermitian matrix model. In this paper we generalize their result to 2-point correlators, using Toda integrability of the model. Remarkably, this exact 2-point correlation function turns out to be an elementary function - arctangent. Relation to the standard 2-point resolvents is pointed out. Some attempts of generalization to 3-point and higher functions are described.
Cite
@article{arxiv.0906.0036,
title = {Exact 2-point function in Hermitian matrix model},
author = {A. Morozov and Sh. Shakirov},
journal= {arXiv preprint arXiv:0906.0036},
year = {2009}
}
Comments
31 pages, 1 figure