One loop calculation in lattice QCD with domain-wall quarks

Abstract

One loop corrections to the domain-wall quark propagator are calculated in massless QCD. It is shown that no additative counter term to the current quark mass is generated in this theory, and the wave function renormalization factor of the massless quark is explicitly evaluated. We also show that an analysis with a simple mean-field approximation can explain properties of the massless quark in numerical simulations of QCD with domain-wall quarks.

24 pages, REVTeX, with 3 epsf figures

References in corpus (4)

• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• More about exactly massless quarks on the lattice
• The index theorem in QCD with a finite cut-off
• Vector like gauge theories with almost massless fermions on the lattice

Cited by in corpus (35)

• Domain Wall QCD with Near-Physical Pions
• Non-perturbative Renormalisation of Domain Wall Fermions: Quark Bilinears
• Localization in Lattice QCD
• The neutral kaon mixing parameter B_K from unquenched mixed-action lattice QCD
• Chiral properties of domain-wall quarks in quenched QCD
• The finite temperature QCD phase transition with domain wall fermions
• Perturbative renormalization factors in domain-wall QCD with improved gauge actions
• Perturbative Renormalization Factors of Quark Bilinear Operators for Domain-wall QCD
• Domain Wall Fermions with Exact Chiral Symmetry
• Calculation of the strange quark mass using domain wall fermions
• Renormalization of domain-wall bilinear operators with short-distance current correlators
• Locality bound for effective four-dimensional action of domain-wall fermion
• Perturbative renormalization factors of three- and four-quark operators for domain-wall QCD
• Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses
• New Domain-Wall Fermion Actions
• One-loop analyses of lattice QCD with the overlap Dirac operator
• Domain Wall Fermions in Quenched Lattice QCD
• Perturbative renormalization factors of $\Delta S=1$ four-quark operators for domain-wall QCD
• Chiral Gauge Theory on Lattice with Domain Wall Fermions
• Schroedinger functional formalism with domain-wall fermion
• Perturbative renormalization of the first moment of structure functions for domain-wall QCD
• Chiral properties of domain-wall fermions from eigenvalues of 4 dimensional Wilson-Dirac operator
• One loop renormalization for the axial Ward-Takahashi identity in Domain-wall QCD
• The Lattice $\Lambda$ Parameter in Domain Wall QCD
• Massive Domain Wall Fermions on Four-dimensional Anisotropic Lattices
• Perturbative renormalization for static and domain-wall bilinears and four-fermion operators with improved gauge actions
• Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
• A Perturbative Study of a General Class of Lattice Dirac Operators
• The Tunneling Hybrid Monte-Carlo algorithm
• Scaling property of domain-wall QCD in perturbation theory
• Oscillatory behavior of the domain wall fermions revisited
• Gauge fixed domain wall fermions on lattice at small Yukawa coupling
• Comparison of Domain Wall Fermion Multigrid Methods
• Chiral violations in domain-wall QCD from one-loop perturbation theory at finite $N_s$
• Unphysical poles and dispersion relations for Möbius domain-wall fermions in free field theory at finite $L_s$