Saved in:
Bibliographic Details
Main Authors: Hayashi, Yui, Tanizaki, Yuya
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2405.12402
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866917813480849408
author Hayashi, Yui
Tanizaki, Yuya
author_facet Hayashi, Yui
Tanizaki, Yuya
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_12402
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Unifying Monopole and Center Vortex as the Semiclassical Confinement Mechanism
Hayashi, Yui
Tanizaki, Yuya
High Energy Physics - Theory
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.
title Unifying Monopole and Center Vortex as the Semiclassical Confinement Mechanism
topic High Energy Physics - Theory
url https://arxiv.org/abs/2405.12402