Color Coulomb Potential in Yang-Mills Theory from Hamiltonian Flows

TL;DR

This paper uses Hamiltonian flows in Coulomb gauge to derive a color Coulomb potential in Yang-Mills theory, revealing a nearly linear confining potential consistent with confinement.

Contribution

It introduces a flow equation approach to Yang-Mills theory that produces a confining Coulomb potential, a novel application of Hamiltonian flows in this context.

Findings

Flow equation yields a nearly linear Coulomb potential.

Supports the confinement mechanism in Yang-Mills theory.

Demonstrates the effectiveness of Hamiltonian flows in gauge theories.

Abstract

We consider the Hamiltonian formulation of Yang-Mills theory in the Coulomb gauge and apply the recently developed technique of Hamiltonian flows. We formulate a flow equation for the color Coulomb potential which allows for a scaling solution that results in an almost linearly rising confining potential.