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

References in corpus (5)

• Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
• The QCD Sign Problem for Small Chemical Potential
• Matrix Models and QCD with Chemical Potential
• Equivalence of QCD in the epsilon-regime and chiral Random Matrix Theory with or without chemical potential
• Domain-wall and overlap fermions at nonzero quark chemical potential

Cited by in corpus (1)

• Phase Diagram of the Dirac Spectrum at Nonzero Chemical Potential