Confinement studies in QCD with Dyson-Schwinger equations

TL;DR

This paper uses Dyson-Schwinger equations to study non-perturbative QCD, revealing confinement mechanisms and approximating the 't Hooft limit through differential equation techniques.

Contribution

It introduces a differential form approach to Dyson-Schwinger equations for non-perturbative QCD analysis, including confinement conditions and the 't Hooft limit approximation.

Findings

Quark propagator off-shell behavior signals confinement.

Approximates the 't Hooft limit within Dyson-Schwinger framework.

Provides conditions for confinement in QCD.

Abstract

We provide a study of quantum chromodynamics with the technique of Dyson-Schwinger equations in differential form. In this way, we are able to approach the non-perturbative limit and recover, with some approximations, the 't Hooft limit of the theory. Quark mass in the propagator term goes off-shell at low-energies signaling confinement. A condition for such occurrence in the theory is provided.