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

References in corpus (2)

• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Unquenched complex Dirac spectra at nonzero chemical potential: two-colour QCD lattice data versus matrix model

Cited by in corpus (12)

• Phase of the Fermion Determinant at Nonzero Chemical Potential
• Matrix Models and QCD with Chemical Potential
• A new Chiral Two-Matrix Theory for Dirac Spectra with Imaginary Chemical Potential
• Random matrix analysis of the QCD sign problem for general topology
• QCD in One Dimension at Nonzero Chemical Potential
• An iterative method to compute the overlap Dirac operator at nonzero chemical potential
• Domain-wall and overlap fermions at nonzero quark chemical potential
• Thermodynamics of the ideal overlap quarks on the lattice
• Individual complex Dirac eigenvalue distributions from random matrix theory and comparison to quenched lattice QCD with a quark chemical potential
• Energy density for chiral lattice fermions with chemical potential
• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• Towards QCD thermodynamics using exact chiral symmetry on lattice