Non-Hermitian Random Matrix Theory and Lattice QCD with Chemical Potential

Details Non-Hermitian Random Matrix Theory and Lattice QCD with Chemical Potential Non-Hermitian Random Matrix Theory and Lattice QCD with Chemical Potential

1999-06-21

arxiv.org/abs/hep-lat/9906020v1

Phys.Rev.Lett. 83 (1999) 484-487

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 3 figures, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.83.484

In quantum chromodynamics (QCD) at nonzero chemical potential, the eigenvalues of the Dirac operator are scattered in the complex plane. Can the fluctuation properties of the Dirac spectrum be described by universal predictions of non-Hermitian random matrix theory? We introduce an unfolding procedure for complex eigenvalues and apply it to data from lattice QCD at finite chemical potential $\mu$ to construct the nearest-neighbor spacing distribution of adjacent eigenvalues in the complex plane. For intermediate values of $\mu$, we find agreement with predictions of the Ginibre ensemble of random matrix theory, both in the confinement and in the deconfinement phase.

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