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arXiv:2606.13388

From 2D Yang-Mills to Calogero-Sutherland via a colored particle

Marcia Tenser, Amilcar R. Queiroz

hep-thmath-phquant-phSubmitted Jun 11, 2026• Announced Jun 12, 2026• 0 citations
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Abstract

We study Yang-Mills theory coupled to a particle on a cylinder, where gauge invariance and compactness reduce the dynamics to a finite dimensional quantum system. In the Abelian case, this yields a model equivalent to the Landau problem on a torus, with a degenerate ground state structure. We generalize this construction to non-Abelian gauge groups and show that, for SU(N), the system reduces to a one dimensional quantum many body problem with a singular Calogero-Sutherland-type interaction.

Comments
25 pages, 4 figures

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