Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model
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| Format: | Preprint |
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2026
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| _version_ | 1866918387621298176 |
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| author | Ludwig, Paul Jakobs, Timo Urbach, Carsten |
| author_facet | Ludwig, Paul Jakobs, Timo Urbach, Carsten |
| contents | We investigate a non-Abelian SU$(2)$ quantum link model in $2+1$ 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 $g^2$ dependent coefficient, in qualitative agreement with a strong coupling expansion. Correspondingly, the width of the strings scales logarithmically with the string length again for all $g^2$-values, providing evidence for a rough string, with no indication for a roughening transition. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_23213 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model Ludwig, Paul Jakobs, Timo Urbach, Carsten High Energy Physics - Lattice Quantum Physics We investigate a non-Abelian SU$(2)$ quantum link model in $2+1$ 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 $g^2$ dependent coefficient, in qualitative agreement with a strong coupling expansion. Correspondingly, the width of the strings scales logarithmically with the string length again for all $g^2$-values, providing evidence for a rough string, with no indication for a roughening transition. |
| title | Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model |
| topic | High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2602.23213 |