# Phase structure of $SU(2)$ Yang-Mills theory with global center symmetry

Source: [Phase structure of $SU(2)$ Yang-Mills theory with global center symmetry](<https://www.sota2.com/research/paper/68fa1f0c7a2b558e293268ff>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T16:47:07.104Z

Authors: K. Sailer

Published: 1994-03-25T13:09:05.000Z

## Abstract

Retaining only the \`timelike' component $A\_0$ of the vector potential a skelet model with explicit global center symmetry is constructed for $SU(2)$ Yang-Mills theory. It is shown that the $A\_0$ gluon vacuum is equivalent with the 4-dimensional Coulomb-gas. In 1--loop approximation, the effective theory of the skelet model exhibits non-local self-interaction. A coupling constant $\\lambda$ is found that governs the loop expansion. For $\\lambda \< 1$ the effective theory does not confine (the string tension vanishes), whereas for $\\lambda = 1$ confinement (with non-vanishing string tension) takes place. In the deconfined phase the $A\_0$ gluons exhibit non-zero rest mass and global center symmetry is broken by the vacuum state.   Confinement sets on for $\\lambda =1$ when the rest mass of $A\_0$ gluons vanishes and the global center symmetry of the vacuum is restored.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-ph/9403367>)

[PDF](<https://arxiv.org/pdf/hep-ph/9403367.pdf>)