Regularization dependence on phase diagram in Nambu-Jona-Lasinio model

TL;DR

This paper investigates how different regularization methods affect meson properties and the phase diagram in the Nambu-Jona-Lasinio model, highlighting the importance of careful regularization in studying the QCD critical end point.

Contribution

It demonstrates the sensitivity of the critical end point's location to regularization procedures and model parameters in the NJL model.

Findings

Meson properties are relatively insensitive to regularization methods.

The critical end point's position varies significantly with regularization.

Regularization and parameters are crucial in effective QCD model studies.

Abstract

We study the regularization dependence on meson properties and the phase diagram of quark matter by using the two flavor Nambu-Jona-Lasinio model. We find that the meson properties and the phase structure do not show drastically difference depending the regularization procedures. We also find that the location or the existence of the critical end point highly depends on the regularization methods and the model parameters. Then we think that regularization and parameters are carefully considered when one investigates the QCD critical end point in the effective model studies.