't Hooft vortices and phases of large N gauge theory

TL;DR

This paper demonstrates that vortex-antivortex pairs are fully screened in strong coupling regimes of 2+1 and 3+1 dimensional Yang-Mills theories, supporting the confinement phenomenon and based on Maldacena's conjecture.

Contribution

It provides evidence for vortex screening in large N gauge theories at strong coupling, linking topological objects to confinement.

Findings

Vortex-antivortex pairs are completely screened in strong coupling.

Screening is consistent with confinement in these theories.

Supports Maldacena's conjecture in the context of gauge theory phases.

Abstract

It is shown that a pair of vortex and anti-vortex is completely screened in 2+1 dimensional Yang-Mills theory and 3+1 dimensional Yang-Mills theory in the strong coupling limit, based on the recent conjecture of Maldacena. This is consistent with the fact that these theories exhibit confinement.