Non-perturbative renormalization constants on the lattice from flavour non-singlet Ward identities

Abstract

By imposing axial and vector Ward identities for flavour-non-singlet currents, we estimate in the quenched approximation the non-perturbative values of combinations of improvement coefficients, which appear in the expansion around the massless case of the renormalization constants of axial, pseudoscalar, vector, scalar non-singlet currents and of the renormalized mass. These coefficients are relevant for the completion of the improvement programme to O(a) of such operators. The simulations are performed with a clover Wilson action non-perturbatively improved.

9 pages, latex file + 4 eps files of figures

References in corpus (1)

• Further one-loop results in O(a) improved lattice QCD

Cited by in corpus (36)

• Non-perturbative quark mass renormalization in quenched lattice QCD
• Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD
• Charmonium properties in hot quenched lattice QCD
• On the discretization of physical momenta in lattice QCD
• Precision computation of the strange quark's mass in quenched QCD
• Improved bilinears in lattice QCD with non-degenerate quarks
• Decay Constants of B and D Mesons from Non-perturbatively Improved Lattice QCD
• Order a improved renormalization constants
• Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations
• Quenched QCD with O(a) improvement: I. The spectrum of light hadrons
• Non-perturbative results for the coefficients b_m and b_a-b_p in O(a) improved lattice QCD
• Heavy quark masses in the continuum limit of quenched Lattice QCD
• Light Quark Masses from Lattice Quark Propagators at Large Momenta
• Heavy--light decay constants in the continuum limit of quenched lattice QCD
• Non-perturbative improvement of quark mass renormalization in two-flavour lattice QCD
• Advanced Lattice QCD
• Non-perturbatively Renormalized Light-Quark Masses with the Alpha Action
• Quenched lattice calculation of semileptonic heavy-light meson form factors
• Quenched lattice calculation of the vector channel B --> D* l nu decay rate
• A Lattice Determination of Light Quark Masses
• Effective heavy-light meson energies in small-volume quenched QCD
• Non-perturbative improvement of lattice QCD at large momenta
• Non-perturbative Renormalization in Lattice Field Theory
• Scaling investigation of renormalized correlation functions in O(a) improved quenched lattice QCD
• Determination of the charm quark mass in lattice QCD with $2+1$ flavours on fine lattices
• Non-perturbative determination of improvement coefficients b_m and b_A-b_P and normalisation factor Z_m*Z_P/Z_A with N_f=3 Wilson fermions
• Scaling behavior of discretization errors in renormalization and improvement constants
• Perturbative calculation of O(a) improvement coefficients
• Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $N_{\mathrm{f}}=3$ QCD with Wilson quarks
• Heavy Wilson Quarks and O($a$) Improvement: Nonperturbative Results for $b_{\mathrm{g}}$
• Non-perturbative Renormalization Constants using Ward Identities
• On the Primordial Magnetic Field from Domain Walls
• Improved bilinears in unquenched lattice QCD
• Scaling tests in $\Or(a)$--improved quenched lattice QCD
• Scientific and personal recollections of Roberto Petronzio
• Non-perturbative Renormalization Constants using Ward Identities