Nambu-Jona-Lasinio model correlation functions from QCD

TL;DR

This paper derives a non-local Nambu-Jona-Lasinio model from QCD using Dyson-Schwinger equations, providing a connection between low-energy effective theories and fundamental QCD parameters.

Contribution

It introduces a novel method to derive the NJL model parameters directly from QCD using Dyson-Schwinger equations and the Bender-Milton-Savage technique.

Findings

Derived the low-energy limit of QCD as a non-local NJL model

Fixed NJL parameters from QCD Lagrangian

Determined the gluon mass gap

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 with all the parameters properly fixed by the QCD Lagrangian and the determination of the mass gap of the gluon sector.