https://doi.org/10.1140/epjc/s10052-026-15945-0
Regular Article - Theoretical Physics
Scaling and Lüscher term in a non-Abelian (2+1)d SU(2) quantum link model
1
Helmholtz-Institut für Strahlen- und Kernphysik, University of Bonn, Nussallee 14-16, 53115, Bonn, Germany
2
Bethe Center for Theoretical Physics, University of Bonn, Nussallee 12, 53115, Bonn, Germany
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
18
March
2026
Accepted:
5
June
2026
Published online:
3
July
2026
Abstract
We investigate a non-Abelian SU(2) 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 Lüscher 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.
© The Author(s) 2026
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3.
