Quark confinement in QCD in the 't Hooft limit

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.

Comments: 7 pages, 2 figures. Contribution to the proceedings of the 25th International Conference in Quantum Chromodynamics (QCD 22), 4-7 July 2022, Montpellier - FR