The Cornell confining potential from spontaneous breaking of scale symmetry

TL;DR

This paper demonstrates how the Cornell confining potential naturally arises from the spontaneous breaking of scale invariance in gauge theory, providing both classical and quantum insights into confinement.

Contribution

It introduces a novel approach linking scale symmetry breaking to the emergence of the Cornell potential in gauge theories.

Findings

Classical confining force derived from scale symmetry breaking.

Quantum-level derivation of the Cornell potential using gauge invariant variables.

Abstract

We show that one can obtain naturally the Cornell confining potential from the spontaneous symmetry breaking of scale invariance in 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.