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

References in corpus (4)

• Phase of the Fermion Determinant at Nonzero Chemical Potential
• The QCD Sign Problem for Small Chemical Potential
• An iterative method to compute the overlap Dirac operator at nonzero chemical potential
• Energy density for chiral lattice fermions with chemical potential

Cited by in corpus (3)

• Random matrix analysis of the QCD sign problem for general topology
• An iterative method to compute the overlap Dirac operator at nonzero chemical potential
• Individual complex Dirac eigenvalue distributions from random matrix theory and comparison to quenched lattice QCD with a quark chemical potential