Domain Wall Fermions in Quenched Lattice QCD

Abstract

We study the chiral properties and the validity of perturbation theory for domain wall fermions in quenched lattice QCD at beta=6.0. The explicit chiral symmetry breaking term in the axial Ward-Takahashi identity is found to be very small already at Ns=10, where Ns is the size of the fifth dimension, and its behavior seems consistent with an exponential decay in Ns within the limited range of Ns we explore. From the fact that the critical quark mass, at which the pion mass vanishes as in the case of the ordinary Wilson-type fermion, exists at finite Ns, we point out that this may be a signal of the parity broken phase and investigate the possible existence of such a phase in this model at finite Ns. The rho and pi meson decay constants obtained from the four-dimensional local currents with the one-loop renormalization factor show a good agreement with those obtained from the conserved currents.

References in corpus (8)

• The finite temperature QCD phase transition with domain wall fermions
• QCD hadron spectrum with domain wall fermions
• Fermion-scalar interactions with domain wall fermions
• How well do domain wall fermions realize chiral symmetry?
• Two dimensional lattice Gross--Neveu model with domain-wall fermions
• Scaling property of domain-wall QCD in perturbation theory
• Review of Unquenched Results
• Dynamical lattice QCD thermodynamics with domain wall fermions

Cited by in corpus (18)

• Quenched Lattice QCD with Domain Wall Fermions and the Chiral Limit
• Lattice gauge action suppressing near-zero modes of H_W
• Localization in Lattice QCD
• Lattice QCD with two dynamical flavors of domain wall quarks
• Super Yang-Mills on the lattice with domain wall fermions
• Calculation of Non-Leptonic Kaon Decay Amplitudes from $K\to \pi$ Matrix Elements in Quenched Domain-Wall QCD
• The finite temperature QCD phase transition with domain wall fermions
• Localization properties of lattice fermions with plaquette and improved gauge actions
• Domain Wall Fermions with Exact Chiral Symmetry
• Perturbative renormalization factors of $\Delta S=1$ four-quark operators for domain-wall QCD
• Chiral properties of domain-wall fermions from eigenvalues of 4 dimensional Wilson-Dirac operator
• Kondo effect with Wilson fermions
• Effective Lagrangian for strongly coupled domain wall fermions
• Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
• Residual Chiral Symmetry Breaking in Domain-Wall Fermions
• Non-perturbative calculation of $Z_V$ and $Z_A$ in domain-wall QCD on a finite box
• Chiral violations in domain-wall QCD from one-loop perturbation theory at finite $N_s$
• Non-perturbative renormalization in domain-wall QCD by Schrödinger functional scheme