Individual complex Dirac eigenvalue distributions from random matrix theory and comparison to quenched lattice QCD with a quark chemical potential

Abstract

We analyze how individual eigenvalues of the QCD Dirac operator at nonzero quark chemical potential are distributed in the complex plane. Exact and approximate analytical results for both quenched and unquenched distributions are derived from non-Hermitian random matrix theory. When comparing these to quenched lattice QCD spectra close to the origin, excellent agreement is found for zero and nonzero topology at several values of the quark chemical potential. Our analytical results are also applicable to other physical systems in the same symmetry class.

4 pages, 4 figures, minor changes, as published in Phys. Rev. Lett

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Cited by in corpus (12)

• Gap Probabilities in Non-Hermitian Random Matrix Theory
• Random matrix analysis of the QCD sign problem for general topology
• Phase Diagram of the Dirac Spectrum at Nonzero Chemical Potential
• A Wigner Surmise for Hermitian and Non-Hermitian Chiral Random Matrices
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• The k-th Smallest Dirac Operator Eigenvalue and the Pion Decay Constant
• Janossy densities for chiral random matrix ensembles and their applications to two-color QCD