Inhomogeneous Vacuum States in Nambu-Jona-Lasinio Model

TL;DR

This paper develops a systematic mean field approach to the Nambu-Jona-Lasinio model, revealing inhomogeneous vacuum states that support bound fermionic states, expanding understanding of non-uniform solutions in quantum field models.

Contribution

It introduces a systematic mean field framework for the NJL model and demonstrates the existence of inhomogeneous vacuum configurations with bound states.

Findings

Inhomogeneous vacuum solutions exist in the NJL model.

These solutions support bound fermionic states.

The approach clarifies divergencies in mean field actions.

Abstract

The mean field approach to the Nambu-Jona-Lasinio model is developed systematically. Approximate mean field action is obtained, based on the study of divergencies in the mean field action. A special scalar case of the approximate motion equations is studied and inhomogenouous solutions are discussed. It is shown that the model can have inhomogeneous vacuum configurations which leads to bound fermionic states.