Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model
High Energy Physics - Lattice
2026-03-17 v2 Quantum Physics
Abstract
We investigate a non-Abelian SU quantum link model in dimensions on a hexagonal lattice using tensor network methods. We determine the static quark potential for a wide range of bare coupling values and find that the theory is confining. We also probe the existence of a L\"uscher term and find a clear signal with a dependent coefficient, in qualitative agreement with a strong coupling expansion. Correspondingly, the width of the strings scales logarithmically with the string length again for all -values, providing evidence for a rough string, with no indication for a roughening transition.
Keywords
Cite
@article{arxiv.2602.23213,
title = {Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model},
author = {Paul Ludwig and Timo Jakobs and Carsten Urbach},
journal= {arXiv preprint arXiv:2602.23213},
year = {2026}
}