Renormalization of bilinear quark operators for the chirally improved lattice Dirac operator

Abstract

We compute non-perturbative renormalization constants of fermionic bilinears for the chirally improved lattice fermions in the quenched approximation of QCD. We address finite size effects and the influence of Gribov copies. Our results are presented in the RI' and MSbar schemes as well as in RGI form and we discuss relations between the renormalization constants implied by chiral symmetry. After publication we corrected the numerator of the first coefficient of α_s^3 in (24) from 3696847 to 3890527, which yields a 0.2% higher value of the conversion coefficient at μ=2 GeV.

24 pages, 7 figures, final version, After publication we corrected the numerator of the first coefficient of α_s^3 in (24) from 3696847 to 3890527, which yields a 0.2% higher value of the conversion coefficient at μ=2 GeV

Cited by in corpus (24)

• Perturbative and Nonperturbative Renormalization in Lattice QCD
• Low energy chiral constants from epsilon-regime simulations with improved Wilson fermions
• Determination of quark masses from ${\mathbf{n}}_{\mathbf{f}}=4$ lattice QCD and the RI-SMOM intermediate scheme
• Non-perturbative renormalization of lattice operators in coordinate space
• The condensate for two dynamical chirally improved quarks in QCD
• The chirally improved quark propagator and restoration of chiral symmetry
• Lattice calculation of low energy constants with Ginsparg-Wilson type fermions
• Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the MSbar and RI' schemes
• QCD with two dynamical flavors of chirally improved quarks
• Two loop renormalization of the n = 2 Wilson operator in the RI'/SMOM scheme
• Three loop MSbar operator correlation functions for deep inelastic scattering in the chiral limit
• Renormalisation of the tensor current in lattice QCD and the $J/\psi$ tensor decay constant
• Non-perturbative Renormalization for Improved Staggered Bilinears
• Amplitudes for the n = 3 moment of the Wilson operator at two loops in the RI/'SMOM scheme
• A lattice calculation of the pion form factor with Ginsparg-Wilson-type fermions
• Nonperturbative renormalization of composite operators with overlap fermions
• Renormalization of Bilinear Quark Operators for Overlap Fermions
• Dynamical Chirally Improved Quarks: First Results for Hadron Masses
• RI'/SMOM scheme amplitudes for deep inelastic scattering operators at one loop in QCD
• A specific lattice artefact in non-perturbative renormalization of operators
• Bilinear quark operator renormalization at generalized symmetric point
• Renormalization factors of quark bilinears using the DCI operator with dynamical quarks
• Pion form factor with chirally improved fermions
• Low energy constants from the chirally improved Dirac operator D_CI