Exact Chiral Invariance at Finite Density on Lattice
Rajiv V. Gavai, Sayantan Sharma
TL;DR
This paper introduces a new lattice action for the overlap Dirac matrix at finite chemical potential that exactly preserves chiral invariance, with implications for lattice QCD simulations.
Contribution
A novel lattice action is proposed that maintains full chiral symmetry at finite density and connects to the domain wall formalism.
Findings
Preserves chiral invariance for all lattice spacings
Derives from domain wall formalism with chemical potential coupling
Applicable to lattice QCD at finite density
Abstract
A new lattice action is proposed for the overlap Dirac matrix with nonzero chemical potential. It is shown to preserve the full chiral invariance for all values of lattice spacing exactly. It is further demonstrated to arise in the domain wall formalism by coupling the chemical potential count only to the physically relevant wall modes.
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