Lattice QCD with the Overlap Fermions at Strong Gauge Coupling (II)

Abstract

In the previous paper we developed a strong-coupling expansion for the lattice QCD with the overlap fermions and showed that Lüsher's "extended" chiral symmetry is spontaneously broken in some parameter region of the overlap fermions. In this paper, we derive a low-energy effective action of hadrons and show that there exist quasi-Nambu-Goldstone bosons which are identified as the pions. The pion field is a {\em nonlocal} composite field of quark and anti-quark even at the strong-coupling limit because of the nonlocality of the overlap fermion formalism and Lüsher's chiral symmetry. The pions become massless in the limit of the vanishing bare-quark mass as it is desired. We furthermore examine symmetries of the overlap fermions with the hopping expansion and argue that there appear no other massless modes other than the pions.

Latex 17 pages, the extended version of hep-lat/0001030, the discussion of symmetries and species doubling added, typo corrected, a final version to appear in Nucl.Phys.B

References in corpus (5)

• Exact chiral symmetry, topological charge and related topics
• Hamiltonian domain wall fermions at strong coupling
• Overlap-Dirac fermions with a small hopping parameter
• Lattice QCD with the Overlap Fermions at Strong Gauge Coupling
• Gross-Neveu model with overlap fermions

Cited by in corpus (6)

• Axial anomaly with the overlap-Dirac operator in arbitrary dimensions
• Phase diagram evolution at finite coupling in strong coupling lattice QCD
• Topology and Low Lying Fermion Modes
• Polyakov loop effects on the phase diagram in strong-coupling lattice QCD
• Effective Lagrangian for strongly coupled domain wall fermions
• Phase structures of strong coupling lattice QCD with overlap fermions at finite temperature and chemical potential