Domain-wall and overlap fermions at nonzero quark chemical potential

Abstract

We have recently given a construction of the overlap Dirac operator at nonzero quark chemical potential. Here, we introduce a quark chemical potential in the domain-wall fermion formalism and show that our earlier result is reproduced if the extent of the fifth dimension is taken to infinity and its lattice spacing is taken to zero. We also extend this result to include a bare quark mass, consider its continuum limit, and prove a number of properties of the overlap operator at nonzero quark chemical potential. In particular, we show that the relation between the anomaly and the index of the overlap operator remains valid.

7 pages, no figures

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Cited by in corpus (15)

• Singular values of the Dirac operator in dense QCD-like theories
• The finite temperature QCD using 2+1 flavors of domain wall fermions at N_t = 8
• Random matrix analysis of the QCD sign problem for general topology
• An iterative method to compute the overlap Dirac operator at nonzero chemical potential
• A nested Krylov subspace method to compute the sign function of large complex matrices
• Anomalies at finite density and chiral fermions
• Individual complex Dirac eigenvalue distributions from random matrix theory and comparison to quenched lattice QCD with a quark chemical potential
• Short-recurrence Krylov subspace methods for the overlap Dirac operator at nonzero chemical potential
• Exact chiral invariance at finite density on the lattice
• Thermodynamics of free Domain Wall fermions
• Level spacings for weakly asymmetric real random matrices and application to two-color QCD with chemical potential
• An iterative method to compute the sign function of a non-Hermitian matrix and its application to the overlap Dirac operator at nonzero chemical potential
• Exact Chiral Invariance at Finite Density on Lattice
• A SQMRCGstab Algorithm for Families of Shifted Linear Systems
• Recycling BiCG for families of shifted linear systems