The Static Potential to O(\alpha^2) in Lattice Perturbation Theory

TL;DR

This paper computes the static inter-quark potential to second order in lattice perturbation theory using various gauge and fermion actions, providing detailed results for different lattice configurations.

Contribution

It offers the first detailed calculation of the static potential to O(α^2) in lattice perturbation theory across multiple gauge and fermion actions.

Findings

Calculated Wilson loops and static potential to O(α^2)

Compared results across different gauge actions

Provided data for small Wilson loops with dynamical fermions

Abstract

We present a calculation of Wilson loops, and the static inter-quark potential to $O(\alpha^2)$ in lattice perturbation theory. This is carried out with the Wilson, Symanzik-Weisz, and Iwasaki gauge actions and the Wilson, Sheikholeslami-Wohlert, and Kogut-Susskind dynamical fermion action for small Wilson loops, and with the Wilson gauge action and each of the dynamical quark actions in the case of the static potential.