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Quantum Simulation

Scaling and Luescher Term in a non-Abelian (2+1)d SU(2) Quantum Link Model

arXiv
Authors: Paul Ludwig, Timo Jakobs, Carsten Urbach

Year

2026

Paper ID

15588

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

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 Luescher term and find a clear signal, however, the value of the dimensionless constant γ strongly deviates from the expected universal value -π/24 for almost all values of the coupling g2 we investigated. The width of the strings scales logarithmically with the string length again for all g2-values, providing evidence for a rough string, with no indication for a roughening transition.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We investigate a non-Abelian SU(2) quantum link model in 2+1 dimensions on a hexagonal lattice using tensor network methods.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2602.23213 [2] arXiv https://arxiv.org/abs/2602.23213 [3] Publisher https://arxiv.org/abs/2602.23213

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