Parameters of NJL models for a generic representation of the gauge group

TL;DR

This paper extends the NJL model to arbitrary gauge group representations, providing a closed-form expression for the critical temperature, aiding the study of QCD-like theories and their thermodynamics.

Contribution

It introduces a generalized non-local NJL model for any gauge group representation with an explicit formula for the critical temperature.

Findings

Closed-form critical temperature expression derived

Applicable to QCD-like theories

Enhances understanding of thermodynamical behavior

Abstract

We generalize a non-local Nambu-Jona-Lasinio model to a generic representation of the gauge group. The critical temperature is given in a closed form as a function of the parameters of the theory and the cut-off. This result is generally useful in the understanding of QCD-like theories and their thermodynamical behavior.