Static potential from spontaneous breaking of scale symmetry

TL;DR

This paper derives the static potential between a heavy quark-antiquark pair resulting from spontaneous scale symmetry breaking in a non-Abelian gauge theory, demonstrating confinement within a gauge-invariant formalism.

Contribution

It introduces a method to compute the static potential from spontaneous scale symmetry breaking using gauge-invariant, path-dependent variables, confirming confinement criteria.

Findings

Static potential derived from symmetry breaking

Potential satisfies 't Hooft confinement criterion

Method applicable within gauge-invariant formalism

Abstract

We determine the static potential for a heavy quark-antiquark pair from the spontaneous symmetry breaking of scale invariance in a non-Abelian gauge theory. Our calculation is done within the framework of the gauge-invariant, path-dependent, variables formalism. The result satisfies the 't Hooft basic criterion for achieving confinement.