Computing hybrid static potentials at short quark-antiquark separations from fine lattices in $SU(3)$ Yang-Mills theory

TL;DR

This paper calculates hybrid static potentials at very short quark-antiquark distances in SU(3) lattice Yang-Mills theory using fine lattices, aiding the study of heavy hybrid mesons.

Contribution

It provides new lattice computations of hybrid static potentials at short distances with four small lattice spacings, improving precision for heavy hybrid meson research.

Findings

Static potentials computed at lattice spacings as small as 0.04 fm.

Systematic errors from topological freezing, finite volume, and glueball decays are analyzed and excluded.

Results support the use of these potentials in the Born-Oppenheimer approximation for heavy hybrid mesons.

Abstract

We compute hybrid static potentials in $SU(3)$ lattice Yang-Mills theory at short quark-antiquark separations using four different small lattice spacings as small as $0.04\,\text{fm}$. The resulting static potentials are important, e.g. when studying heavy hybrid mesons in the Born-Oppenheimer approximation. We also discuss and exclude possible systematic errors from topological freezing, the finite lattice volume and glueball decays.