# Some new results in O(a) improved lattice QCD

## TL;DR

This paper presents a non-perturbative method for implementing on-shell O(a) improvement in lattice QCD with Wilson quarks, using the Schrödinger functional to derive improvement conditions.

## Contribution

It introduces a non-perturbative approach to O(a) improvement in lattice QCD, determining key renormalization constants and improved actions directly from simulation data.

## Key findings

- Determined improved action and axial current constants.
- Calculated additive quark mass renormalization.
- Established normalization constants Z_A and Z_V.

## Abstract

It is shown how on-shell O(a) improvement can be implemented non-perturbatively in lattice QCD with Wilson quarks. Improvement conditions are obtained by requiring the PCAC relation to hold exactly in certain matrix elements. These are derived from the QCD Schr\"odinger functional which enables us to simulate directly at vanishing quark masses. In the quenched approximation and for bare couplings in the range $0\leq g_0\leq 1$, we determine the improved action, the improved axial current, the additive renormalization of the quark mass and the isospin current normalization constants Z_A and Z_V.