Perturbative chiral violations for domain-wall QCD with improved gauge actions

Abstract

We investigate, in the framework of perturbation theory at finite $N_s$, the effectiveness of improved gauge actions in suppressing the chiral violations of domain-wall fermions. Our calculations show substantial reductions of the residual mass when it is compared at the same value of the gauge coupling, the largest suppression being obtained when the DBW2 action is used. Similar effects can also be observed for a power-divergent mixing coefficient which is chirally suppressed. No significant reduction instead can be seen in the case of the difference between the vector and axial-vector renormalization constants when improved gauge actions are used in place of the plaquette action. We also find that one-loop perturbation theory is not an adequate tool to carry out comparisons at the same energy scale (of about 2 GeV), and in fact in this case even an enhancement of the chiral violations is frequently obtained.

arXiv commentREVTeX 4, 20 pages, XXX tables, 1 figure. Added new Tables and comparisons made at the same energy scale, and many points in the text consequently changed

References in corpus (30)

• Chiral Fermions from Lattice Boundaries
• Lattice Perturbation Theory
• Renormalization group flow of SU(3) lattice gauge theory - Numerical studies in a two coupling space
• Rationale for UV-filtered clover fermions
• Chiral Symmetry Restoration in the Schwinger Model with Domain Wall Fermions
• Domain wall fermions with improved gauge actions
• Localization in Lattice QCD
• Proton decay matrix elements with domain-wall fermions
• Lattice QCD with two dynamical flavors of domain wall quarks
• Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions
• Perturbative Renormalization Factors of Bilinear Quark Operators for Improved Gluon and Quark Actions in Lattice QCD
• Vector form factor in K_l3 semileptonic decay with two flavors of dynamical domain-wall quarks
• Localization properties of lattice fermions with plaquette and improved gauge actions
• Perturbative renormalization factors in domain-wall QCD with improved gauge actions
• A Lattice Computation of the First Moment of the Kaon's Distribution Amplitude
• The Kaon B-parameter from Quenched Domain-Wall QCD
• Perturbative Renormalization Factors of Quark Bilinear Operators for Domain-wall QCD
• Mobility edge in lattice QCD
• Charm as a domain wall fermion in quenched lattice QCD
• Perturbative renormalization of moments of quark momentum, helicity and transversity distributions with overlap and Wilson fermions
• Exponential suppression of radiatively induced mass in the truncated overlap
• One-loop renormalisation of quark bilinears for overlap fermions with improved gauge actions
• Perturbative renormalization of the first moment of structure functions for domain-wall QCD
• Perturbative renormalization in parton distribution functions using Overlap fermions and Symanzik improved gluons
• Domain Wall Fermions and Chiral Symmetry Restoration Rate
• Renormalisation of one-link quark operators for overlap fermions with Lüscher-Weisz gauge action
• Perturbative renormalization factors for generic $\Delta s=2$ four-quark operators in domain-wall QCD with improved gauge action
• Chiral violations in domain-wall QCD from one-loop perturbation theory at finite $N_s$
• Perturbative Renormalization Factors of Baryon Number Violating Operators for Improved Quark and Gauge Actions in Lattice QCD
• One-loop renormalization factors and mixing coeffecients of bilinear quark operators for improved gluon and quark actions