Random Matrix Theory and QCD at nonzero chemical potential
Abstract
In this lecture we give a brief review of chiral Random Matrix Theory (chRMT) and its applications to QCD at nonzero chemical potential. We present both analytical arguments involving chiral perturbation theory and numerical evidence from lattice QCD simulations showing that correlations of the smallest Dirac eigenvalues are described by chRMT. We discuss the range of validity of chRMT and emphasize the importance of universality. For chRMT's at we identify universal properties of the Dirac eigenvalues and study the effect of quenching on the distribution of Yang-Lee zeros.
Keywords
Cite
@article{arxiv.hep-ph/9807296,
title = {Random Matrix Theory and QCD at nonzero chemical potential},
author = {J. J. M. Verbaarschot},
journal= {arXiv preprint arXiv:hep-ph/9807296},
year = {2009}
}
Comments
13 pages, Latex and 3 postscript figures; Invited talk given at the workshop "QCD at Finite Baryon Density: A Complex System with a Complex Action", Bielefeld, 27-30 April 1998