Random Matrix Theory and QCD at nonzero chemical potential

Details Random Matrix Theory and QCD at nonzero chemical potential Random Matrix Theory and QCD at nonzero chemical potential

1998-07-08

arxiv.org/abs/hep-ph/9807296v1

Nucl.Phys. A642 (1998) 305-317

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, Latex and 3 postscript figures; Invited talk given at the workshop "QCD at Finite Baryon Density: A Complex System w

Scientific paper

10.1016/S0375-9474(98)00530-2

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.

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