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

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.

arXiv:2606.13388 [hep-th]

(or arXiv:2606.13388v1 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2606.13388 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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