Scaling behavior of discretization errors in renormalization and improvement constants

Abstract

Non-perturbative results for improvement and renormalization constants needed for on-shell and off-shell O(a) improvement of bilinear operators composed of Wilson fermions are presented. The calculations have been done in the quenched approximation at beta=6.0, 6.2 and 6.4. To quantify residual discretization errors we compare our data with results from other non-perturbative calculations and with one-loop perturbation theory.

arXiv commentPublished version that includes a section on notation

References in corpus (11)

• Non-perturbative O(a) improvement of lattice QCD
• Precision computation of a low-energy reference scale in quenched lattice QCD
• Non-perturbative determination of the axial current normalization constant in O(a) improved lattice QCD
• Improved bilinears in lattice QCD with non-degenerate quarks
• Order a improved renormalization constants
• Non-perturbative O(a) improvement of the vector current
• Non-perturbative renormalization constants on the lattice from flavour non-singlet Ward identities
• Non-perturbative renormalisation and improvement of the local vector current for quenched and unquenched Wilson fermions
• Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
• Scaling behavior of improvement and renormalization constants
• A nonperturbative determination of the O(a) improvement coefficient c_A and the scaling of f_pi and m^{MSbar}

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• Decay constants of charm and beauty pseudoscalar heavy-light mesons 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
• 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 $b_{\mathrm{g}}$