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

Marcia Tenser; Amilcar R. Queiroz

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arXiv · 2606.13388

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

Marcia Tenser·Amilcar R. Queiroz

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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.

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Marcia Tenser, Amilcar R. Queiroz. 2026-06-11. From 2D Yang-Mills to Calogero-Sutherland via a colored particle. https://arxiv.org/abs/2606.13388

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