Matrix model correlation functions and lattice data for the QCD Dirac operator with chemical potential

Preprint

16 January 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-lat/0301017

Abstract

We apply a complex chiral random matrix model as an effective model to QCD with a small chemical potential at zero temperature. In our model the correlation functions of complex eigenvalues can be determined analytically in two different limits, at weak and strong non-Hermiticity. We compare them to the distribution of the smallest Dirac operator eigenvalues from quenched QCD lattice data for small values of the chemical potential, appropriately rescaled with the volume. This confirms the existence of two different scaling regimes from lattice data.

Keywords

MODEL THE CORRELATION
CHEMICAL POTENTIAL
DIRAC OPERATOR
MATRIX MODEL
LATTICE DATA
EIGENVALUES
QCD LATTICE

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Version 1, 2003-01-16, ArXiv

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