The static quark potential from a multilevel algorithm for the improved gauge action

TL;DR

This paper extends a multilevel algorithm to improved gauge actions in SU(N) Yang-Mills theories, enabling precise measurements of the static quark potential and Luescher term in various dimensions.

Contribution

It generalizes the multilevel algorithm for improved gauge actions and compares its effectiveness with the Wilson action in different SU(N) theories.

Findings

The algorithm successfully measures the static quark potential.

Results agree with bosonic string theory predictions for the Luescher term.

Enhanced computational efficiency in lattice gauge theory simulations.

Abstract

We generalize the multilevel algorithm of Luescher and Weisz to study SU(N) Yang-Mills theories with the tree-level improved gauge action. We test this algorithm, comparing its results with those obtained using the Wilson action, in SU(3) and SU(4) Yang-Mills theories in 2+1 and 3+1 dimensions. We measure the static quark potential and extract the Luescher term, predicted by the bosonic string theory.