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arXiv · 2405.12402

Unifying Monopole and Center Vortex as the Semiclassical Confinement Mechanism

Yui Hayashi·Yuya Tanizaki
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Abstract

Magnetic excitations play a crucial role in understanding the color confinement of $4$d Yang-Mills theory, and we have the monopole and the center vortex as plausible candidates to explain its mechanism. Under suitable compactified setups of $4$d Yang-Mills theory, we can achieve different weakly-coupled descriptions of confinement phenomena: The monopole mechanism takes place on $\mathbb{R}^3\times S^1$ with the double-trace deformation, and the center-vortex mechanism is effective on $\mathbb{R}^2\times T^2$ with the 't Hooft flux. We unify these two semiclassical descriptions by showing the explicit relation between the monopole and center vortex.

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Yui Hayashi, Yuya Tanizaki. 2024-05-20. Unifying Monopole and Center Vortex as the Semiclassical Confinement Mechanism. https://doi.org/10.1103/physrevlett.133.171902

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