Confinement from spontaneous breaking of scale symmetry

TL;DR

This paper demonstrates that confinement of static charges can naturally arise from spontaneous scale symmetry breaking in gauge theories, producing a confining potential consistent with 't Hooft's criteria for perturbative confinement.

Contribution

It introduces a novel mechanism linking spontaneous scale symmetry breaking to confinement, explicitly deriving the Cornell potential at the quantum level.

Findings

Classical confining force emerges from scale symmetry breaking.

Quantum analysis yields the Cornell confining potential.

Method satisfies 't Hooft's conditions for perturbative confinement.

Abstract

We show that one can obtain naturally the confinement of static charges from the spontaneous symmetry breaking of scale invariance in a gauge theory. At the classical level a confining force is obtained and at the quantum level, using a gauge invariant but path-dependent variables formalism, the Cornell confining potential is explicitly obtained. Our procedure answers completely to the requirements by 't Hooft for ''perturbative confinement''.