A purely quark Lagrangian from QCD

TL;DR

This paper introduces a method to derive an effective quark-only Lagrangian from QCD at strong coupling, capturing low-energy symmetries and aiding hadron property studies.

Contribution

It presents a novel approach to obtain a purely quark Lagrangian directly from QCD, emphasizing symmetry preservation at large gauge couplings.

Findings

Effective quark Lagrangian maintains low-energy QCD symmetries

Method applicable at large gauge couplings g

Potential to explore hadron properties using the derived theory

Abstract

We present a method for determining a purely quark Lagrangian by mocking up the QCD partition function for large gauge couplings $g$. The resulting effective theory displays all the symmetries of low energy QCD and can be potentially used to explore hadron properties.