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# Title: 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 $\mu \ne 0$ we identify universal properties of the Dirac eigenvalues and study the effect of quenching on the distribution of Yang-Lee zeros.
 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 Subjects: High Energy Physics - Phenomenology (hep-ph) Journal reference: Nucl.Phys. A642 (1998) 305-317 DOI: 10.1016/S0375-9474(98)00530-2 Report number: SUNY-NTG-98/25 Cite as: arXiv:hep-ph/9807296 (or arXiv:hep-ph/9807296v1 for this version)

## Submission history

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[v1] Wed, 8 Jul 1998 21:06:04 GMT (158kb)