The 't Hooft loop from a center-vortex wave functional

TL;DR

This paper uses a proposed vacuum wave functional for SU(N) Yang-Mills theory to compute the spatial 't Hooft loop, finding a perimeter law consistent with confinement criteria.

Contribution

It extends previous work by applying the wave functional to calculate the 't Hooft loop, demonstrating its perimeter law behavior.

Findings

Wilson loop exhibits an area law

't Hooft loop exhibits a perimeter law

Results align with confinement criteria

Abstract

Previously, we proposed an infrared vacuum wave functional for $SU(N)$ Yang-Mills theory peaked at thin center vortices and showed that it yields an area law for the Wilson loop. In this work, we use this wave functional to calculate the spatial 't Hooft loop, for which we find a perimeter law, in accordance with 't Hooft's criterion for confinement.