One-loop renormalization of fermionic currents with the overlap-Dirac operator

Abstract

We compute the one-loop lattice renormalization of the two-quark operators $\bar{\psi }\Gamma \psi$, where $\Gamma$ denotes the generic Dirac matrix, for the lattice formulation of QCD using the overlap-Dirac operator. We also study the renormalization of quark bilinears which are more extended and have better chiral properties. Finally, we present improved estimates of these renormalization constants, coming from cactus resummation and from mean field perturbation theory.

14 pages, LATeX with 2 PS figure files. One further reference on the axial anomaly has been added; no other changes. Nuclear Physics B, in press

References in corpus (2)

• Finite-size scaling of the quark condensate in quenched lattice QCD
• Operator improvement for Ginsparg-Wilson fermions

Cited by in corpus (40)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Lattice QCD in the epsilon-regime and random matrix theory
• Beauty mesons in lattice QCD with exact chiral symmetry
• Light Quark Masses with Overlap Fermions in Quenched QCD
• Light quark masses, chiral condensate and quark-gluon condensate in quenched lattice QCD with exact chiral symmetry
• O(a^2) corrections to the one-loop propagator and bilinears of clover fermions with Symanzik improved gluons
• Artefacts and <A2> power corrections : revisiting the MOM Z_psi and Z_V
• Filtered overlap: speedup, locality, kernel non-normality and Z_A~1
• Perturbative Renormalization of Weak-Hamiltonian Four-Fermion Operators with Overlap Fermions
• One loop matching coefficients for a variant overlap action--and some of its simpler relatives
• On the renormalized scalar density in quenched QCD
• Chiral Properties of Pseudoscalar Mesons on a Quenched $20^4$ Lattice with Overlap Fermions
• Correlators of left charges and weak operators in finite volume chiral perturbation theory
• Light Hadron Weak Matrix Elements
• An alternative to domain wall fermions
• Scalar condensate and light quark masses from overlap fermions
• Analysis of the DeltaI=1/2 Rule and e'/e with Overlap Fermions
• Perturbative renormalization of moments of quark momentum, helicity and transversity distributions with overlap and Wilson fermions
• Domain wall fermions and applications
• Exact Chiral Symmetry on the Lattice: QCD Applications
• Quenched Results for Light Quark Physics with Overlap Fermions
• Progress using generalized lattice Dirac operators to parametrize the Fixed-Point QCD action
• Nonperturbative renormalization of composite operators with overlap fermions
• HQET with chiral symmetry on the lattice
• Perturbative renormalization of the first two moments of non-singlet quark distributions with overlap fermions
• Nonperturbative renormalisation of composite operators with overlap quarks
• Perturbative renormalization of the first moment of structure functions for domain-wall QCD
• Improved Perturbation Theory for Improved Lattice Actions
• Light quark masses in quenched QCD with exact chiral symmetry
• QCD with overlap fermions: Running coupling and the 3-loop beta-function
• The Lattice Free Energy with Overlap Fermions: A Two-Loop Result
• Perturbative renormalization in parton distribution functions using Overlap fermions and Symanzik improved gluons
• Monopole and instanton effects in QCD
• Quenched Chiral Behavior of Hadrons with Overlap Fermions
• Beauty mesons in $N_f=2+1+1+1$ lattice QCD with exact chiral symmetry
• Higher Loop Results for the Plaquette, Using the Clover and Overlap Actions
• Lattice renormalisation of O(a) improved heavy-light operators
• Gauge theories with overlap fermions in an arbitrary representation: Evaluation of the 3-loop beta-function
• Quenched Chiral Log and Light Quark Mass from Overlap Fermions
• Random Matrix Theory and the Spectra of Overlap Fermions