Overlap Dirac operator at nonzero chemical potential and random matrix theory

Abstract

We show how to introduce a quark chemical potential in the overlap Dirac operator. The resulting operator satisfies a Ginsparg-Wilson relation and has exact zero modes. It is no longer gamma_5-hermitian, but its nonreal eigenvalues still occur in pairs. We compute the spectral density of the operator on the lattice and show that, for small eigenvalues, the data agree with analytical predictions of nonhermitian chiral random matrix theory for both trivial and nontrivial topology.

4 pages, 2 figures

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Cited by in corpus (39)

• Review on novel methods for lattice gauge theories
• Finite-density lattice QCD and sign problem: current status and open problems
• Phase of the Fermion Determinant at Nonzero Chemical Potential
• Anomalous transport with overlap fermions
• Singular values of the Dirac operator in dense QCD-like theories
• Matrix Models and QCD with Chemical Potential
• A new Chiral Two-Matrix Theory for Dirac Spectra with Imaginary Chemical Potential
• QCD thermodynamics with dynamical overlap fermions
• Random matrix analysis of the QCD sign problem for general topology
• The QCD Critical Point : marching towards continuum
• An iterative method to compute the overlap Dirac operator at nonzero chemical potential
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• A numerical study of non-perturbative corrections to the Chiral Separation Effect in quenched finite-density QCD
• Domain-wall and overlap fermions at nonzero quark chemical potential
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• QCD Critical Point: The Race is On
• A Wigner Surmise for Hermitian and Non-Hermitian Chiral Random Matrices
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• The Chiral Separation Effect in quenched finite-density QCD
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