Hamiltonian approach to Coulomb gauge Yang-Mills Theory

TL;DR

This paper develops a Hamiltonian framework in Coulomb gauge for Yang-Mills theory, demonstrating confinement of quarks and gluons through variational methods and Green function calculations.

Contribution

It introduces a Hamiltonian approach to Coulomb gauge Yang-Mills theory and computes Green functions and observables demonstrating confinement.

Findings

Heavy quarks are confined by a linearly rising potential.

Gluons cannot propagate over large distances.

The 't Hooft loop indicates confinement via a perimeter law.

Abstract

The vacuum wave functional of Coulomb gauge Yang-Mills theory is determined within the variational principle and used to calculate various Green functions and observables. The results show that heavy quarks are confined by a linearly rising potential and gluons cannot propagate over large distances. The 't Hooft loop shows a perimeter law and thus also indicates confinement.