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

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.

Comments: 8 pages, 3 figures, talk given at the 38th International Symposium on Lattice Field Theory (LATTICE2021), 26th-30th July 2021, Zoom/Gather@Massachusetts Institute of Technology. arXiv admin note: substantial text overlap with arXiv:2008.12216