Low-energy QCD from first principles

TL;DR

This paper derives a low-energy effective model of QCD from first principles, showing it aligns well with instanton liquid models and experimental data, thus providing a solid theoretical foundation for low-energy QCD phenomena.

Contribution

It presents a derivation of a non-local Nambu-Jona-Lasinio model directly from the QCD Lagrangian with parameters fixed from first principles.

Findings

The form factor matches that of the instanton liquid model.

Mean field approximation yields results in excellent agreement with experimental data.

Parameters are fixed without phenomenological fitting.

Abstract

We show how, starting from QCD Lagrangian, a low-energy limit can be derived that is given by a non-local Nambu-Jona-Lasinio model with the form factor in close agreement with the one expected from an instanton liquid model but with all the parameters properly fixed. In the mean field approximation, the agreement with experimental data is excellent.