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Quantum Algorithms

Scaling and Lüscher term in a non-Abelian (2+1)d SU(2) quantum link model

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Authors: Paul Ludwig, Timo Jakobs, Carsten Urbach

Year

2026

Paper ID

71044

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

100

Citations

0

Abstract

Abstract We investigate a non-Abelian SU(2) quantum link model in $2+1$ 2 + 1 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 $g2g 2 dependent coefficient, in qualitative agreement with a strong coupling expansion. Correspondingly, the width of the strings scales logarithmically with the string length again for allg2$ g 2 -values, providing evidence for a rough string, with no indication for a roughening transition.

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  • Abstract We investigate a non-Abelian SU(2) quantum link model in 2+1 2 + 1 dimensions on a hexagonal lattice using tensor network methods.

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References & Citation Signals

[1] DOI https://doi.org/10.1140/epjc/s10052-026-15945-0 [2] Publisher https://doi.org/10.1140/epjc/s10052-026-15945-0

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External citation index: OpenAlex citation signal • updated 2026-10-19 23:28:17

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