Coulomb interaction from the interplay between Confinement and Screening

TL;DR

This paper explores how the combination of a confinement term and a mass term in the Lagrangian leads to Coulomb interactions, offering insights into the interplay between confinement and screening effects in gauge theories.

Contribution

It introduces a novel analysis of the combined effects of confinement and mass terms, revealing the emergence of Coulomb interactions in this context.

Findings

Interplay between confinement and mass terms produces Coulomb potential.

Connection established with quasiconfinement in symmetry-broken QCD.

Provides a new perspective on screening effects in gauge theories.

Abstract

It has been noticed that confinement effects can be described by the addition of a $ \sqrt {- F_{\mu \nu}^a F^{a\mu \nu}} $ term in the Lagrangian density. We now study the combined effect of such "confinement term" and that of a mass term. The surprising result is that the interplay between these two terms gives rise to a Coulomb interaction. Our picture has a certain correspondence with the quasiconfinement picture described by Giles, Jaffe and de Rujula for QCD with symmetry breaking.