The Nf=0 heavy quark potential from short to intermediate distances

TL;DR

This paper investigates the static quark-antiquark potential at short to intermediate distances using lattice QCD, analyzing lattice artifacts, and extrapolating to continuum to improve understanding of quark confinement.

Contribution

It provides a detailed analysis of lattice artifacts and continuum extrapolation for the static quark potential up to high beta values, extending previous studies.

Findings

Continuum quantities obtained via extrapolation agree with Symanzik scaling predictions.

The scale r_0/a is determined for the Wilson action up to beta=6.92.

Lattice artifacts are systematically analyzed and minimized in the potential calculation.

Abstract

We study the potential of a static quark anti-quark pair in the range 0.05fm \leq r \leq 0.8fm, employing a sequence of lattices up to 64^4. Lattice artifacts in potential and force are investigated theoretically as well as numerically and continuum quantities are obtained by extrapolation of the results at finite lattice spacing. Consistency of the numerical results with the form of scaling violations predicted by an analysis `a la Symanzik is found. The scale r_0/a is determined for the Wilson action up to beta=6.92.