Lattice QCD with the Overlap Fermions at Strong Gauge Coupling

Abstract

We generalize overlap fermion by Narayanan and Neuberger by introducing a hopping parameter t. This lattice fermion has desirable properties as the original overlap fermion. We expand "Dirac" operator of this fermion in powers of t. Higher-order terms of t are long-distance terms and this t-expansion is a kind of the hopping expansion. It is shown that the Ginsparg-Wilson relation is satisfied at each order of t. We show that this t-expansion is useful for study of the strong-coupling gauge theory. We apply this formalism to the lattice QCD and study its chiral phase structure at strong coupling. We find that there are (at least) two phases one of which has desired chiral properties of QCD. Possible phase structure of the lattice QCD with the overlap fermions is proposed.

Latex 17 pages, one figure, references added, typo corrected, a final version to appear in Nucl.Phys.B

References in corpus (3)

• Locality properties of Neuberger's lattice Dirac operator
• Topology and the axial anomaly in abelian lattice gauge theories
• Lattice QCD with Ginsparg-Wilson fermions

Cited by in corpus (7)

• Axial anomaly with the overlap-Dirac operator in arbitrary dimensions
• Phase diagram evolution at finite coupling in strong coupling lattice QCD
• Chiral properties of domain-wall fermions from eigenvalues of 4 dimensional Wilson-Dirac operator
• Polyakov loop effects on the phase diagram in strong-coupling lattice QCD
• Effective Lagrangian for strongly coupled domain wall fermions
• Lattice QCD with the Overlap Fermions at Strong Gauge Coupling (II)
• Phase structures of strong coupling lattice QCD with overlap fermions at finite temperature and chemical potential