Scaling behavior of discretization errors in renormalization and improvement constants

TL;DR

This paper presents non-perturbative calculations of renormalization and improvement constants for Wilson fermions, analyzing their discretization errors across different lattice spacings and comparing with perturbative results.

Contribution

It provides new non-perturbative data for improvement and renormalization constants at multiple lattice spacings, enhancing understanding of discretization errors in lattice QCD.

Findings

Discretization errors decrease with finer lattice spacing.

Non-perturbative results differ from one-loop perturbation theory.

Comparison with other data helps quantify residual errors.

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.