Quark confinement in QCD in the 't Hooft limit

TL;DR

This paper uses Dyson-Schwinger equations to analyze quark confinement in QCD, deriving a low-energy non-local Nambu-Jona-Lasinio model that indicates quarks are confined and not free at low energies.

Contribution

It introduces a novel approach using the Bender-Milton-Savage technique to derive a low-energy effective model from QCD, providing insights into quark confinement.

Findings

Low-energy limit described by a non-local Nambu-Jona-Lasinio model

The gap equation shows no free quarks at low energies

Method offers a new perspective on quark confinement in QCD

Abstract

We treat quantum chromodynamics (QCD) using a set of Dyson-Schwinger equations derived, in differential form, with the Bender-Milton-Savage technique. In this way, we are able to derive the low energy limit that assumes the form of a non-local Nambu-Jona-Lasinio model. The corresponding gap equation is then studied to show that such a model has no free quarks in the low-energy limit.