A confinement criterion for gauge theories with matter fields
Jeff Greensite, Kazue Matsuyama

TL;DR
This paper introduces a new confinement criterion for gauge theories with matter fields, extending the Wilson loop area-law concept to better distinguish confined phases in theories with fundamental matter.
Contribution
It proposes a generalized confinement criterion applicable to gauge theories with matter in the fundamental representation, surpassing the traditional Wilson loop area-law approach.
Findings
The new criterion is stronger than the asymptotic particle state criterion.
It applies to theories with the Brout-Englert-Higgs mechanism.
Provides a more comprehensive understanding of confinement in gauge theories.
Abstract
A generalization of the Wilson loop area-law criterion is proposed, which is applicable to gauge theories with matter in the fundamental representation of the gauge group. This new criterion, like the area law, is stronger than the statement that asymptotic particle states are massive color singlets, which holds even for theories described by the Brout-Englert-Higgs mechanism.
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