The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge

TL;DR

This paper calculates the spatial 't Hooft loop in Yang-Mills theory using a nonperturbative vacuum wave functional, demonstrating a perimeter law that indicates confinement in Coulomb gauge.

Contribution

It introduces a nonperturbative approach to evaluate the 't Hooft loop, linking the vacuum wave functional to confinement properties in Coulomb gauge.

Findings

The vacuum wave functional yields a perimeter law for large spatial 't Hooft loops.

The approach confirms the confinement property in the Coulomb gauge.

Demonstrates the duality between 't Hooft and Wilson loops in this framework.

Abstract

The spatial 't Hooft loop, which is a disorder parameter dual to the temporal Wilson loop, is calculated using the nonperturbative Yang-Mills vacuum wave functional determined previously by a variational solution of the Yang-Mills Schroedinger equation in Coulomb gauge. It is shown, that this wave functional yields indeed a perimeter law for large spatial 't Hooft loops signaling confinement.