On scale symmetry breaking and confinement in D=3 models

TL;DR

This paper investigates how breaking scale symmetry relates to confinement in three-dimensional gluodynamics, demonstrating that the static potential includes a linear component that confines charges and establishing equivalences among effective theories.

Contribution

It introduces a gauge-invariant formalism to connect scale symmetry breaking with confinement and reveals new equivalences among 3D effective theories.

Findings

Static potential contains a linear confining term.

Scale symmetry breaking is linked to confinement.

Different 3D effective theories are shown to be equivalent.

Abstract

Within the framework of the gauge-invariant, but path-dependent, variables formalism, we study the connection between scale symmetry breaking and confinement in three-dimensional gluodynamics. We explicitly show that the static potential profile contains a linear potential, leading to the confinement of static charges. Also, we establish a new type of equivalence among different three-dimensional effective theories.