On cutoff effects in lattice QCD from short to long distances

TL;DR

This paper investigates cutoff effects in lattice QCD across different distance scales, using theoretical analysis and numerical data to improve the understanding and renormalization of the axial current.

Contribution

It provides a detailed analysis of cutoff effects from short to long distances and offers an improved method for renormalizing the axial current in lattice QCD.

Findings

Identification of kinematical enhancements of cutoff effects

Numerical validation of theoretical analysis with Nf=2 dynamical Wilson quarks

Improved determination of axial current renormalization

Abstract

We discuss kinematical enhancements of cutoff effects at short and intermediate distances. Starting from a pedagogical example with periodic boundary conditions, we switch to the case of the Schroedinger Functional, where the theoretical analysis is checked by precise numerical data with Nf=2 dynamical O(a)-improved Wilson quarks. Finally we present an improved determination of the renormalization of the axial current in that theory.