Scenario for quark confinement from infrared safe Yang-Mills dynamics

TL;DR

This paper presents a semiclassical approach to quark confinement in Yang-Mills theories, incorporating infrared features like finite coupling and gluon propagator behavior, resulting in a flux tube solution consistent with lattice results.

Contribution

It introduces a novel semiclassical model capturing infrared Yang-Mills dynamics and provides a flux tube solution aligned with lattice simulation findings.

Findings

Finite infrared coupling and gluon propagator behavior.

Flux tube solution consistent with lattice data.

Infrared positivity violations indicating massless modes.

Abstract

We revisit the non-Abelian dipole problem in the context of a simple semiclassical approach that incorporates some essential features of the infrared sector of Yang-Mills theories in the Landau gauge, in particular, the fact that both the running coupling and the gluon propagator remain finite at infrared scales and that the latter shows positivity violations that reflects the presence of massless modes. We obtain a simple flux tube solution in a controlled approximation scheme, which we compare to the results of lattice simulations.