Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 12, Pages -Publisher
SPRINGER
DOI: 10.1088/1126-6708/2009/12/003
Keywords
Matrix Models; 1/N Expansion
Categories
Funding
- Russian Federal Nuclear Energy Agency
- Russian President's Grant of Support for the Scientific Schools [NSh-3035.2008.2]
- RFBR [07-02-00547]
- Moebius Contest Foundation for Young Scientists
- Dynasty Foundation
- [09-01-92440-CE, 09-02-91005-ANF]
- [09-02-93105-CNRS]
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J. Harer and D. Zagier have found a strikingly simple generating function [1, 2] 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.
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