On condensation of topological defects and confinement

TL;DR

This paper investigates how the condensation of topological defects in a tensor field theory leads to confinement, demonstrating that the static potential combines Yukawa and linear terms, indicating confinement of charges.

Contribution

It introduces a gauge-invariant approach to analyze the static potential in a defect-condensed tensor field theory, revealing confinement mechanisms.

Findings

Interaction energy includes Yukawa and linear potentials.

Topological defect condensation results in charge confinement.

The formalism confirms confinement in the studied model.

Abstract

We study the static quantum potential for a theory of anti-symmetric tensor fields that results from the condensation of topological defects, within the framework of the gauge-invariant but path-dependent variables formalism. Our calculations show that the interaction energy is the sum of a Yukawa and a linear potentials, leading to the confinement of static probe charges.