Confinement from constant field condensates

TL;DR

This paper investigates how a constant gauge field condensate in a (2+1)-dimensional SU(2) Yang-Mills theory leads to confinement, with the interaction potential exhibiting a linear term similar to the massive Schwinger model.

Contribution

It introduces a reformulation of SU(2) Yang-Mills theory with a constant condensate and computes the gauge-invariant interaction potential showing confinement.

Findings

Interaction energy includes a linear confining term

Confinement similar to the massive Schwinger model

Reformulation highlights the role of gauge condensates

Abstract

For a $(2+1)$-dimensional reformulated SU(2) Yang-Mills theory, we compute the interaction potential within the framework of the gauge-invariant but path-dependent variables formalism. This reformulation is due to the presence of a constant gauge field condensate. Our results show that the interaction energy contains a linear term leading to the confinement of static probe charges. This result is equivalent to that of the massive Schwinger model.