Phase diagram of Nambu-Jona-Lasinio model with dimensional regularization

TL;DR

This paper explores the phase diagram of the Nambu-Jona-Lasinio model using dimensional regularization, revealing notable differences from cutoff regularization, especially a strong tendency for first-order phase transitions.

Contribution

It provides the first detailed analysis of the NJL model's phase diagram with dimensional regularization, highlighting key differences from traditional cutoff methods.

Findings

Dimensional regularization shows a strong tendency for first-order phase transitions.

The phase diagram structure resembles that of cutoff regularization but with notable differences.

Distinct features in the phase transition behavior depending on the regularization method.

Abstract

We investigate the phase diagram on temperature-chemical potential plane in the Nambu-Jona-Lasinio model with the dimensional regularization. While the structure of the resulting diagram shows resemblance to the one in the frequently used cutoff regularization, some results of our study indicate striking difference between these regularizations. The diagram in the dimensional regularization exhibits strong tendency of the first order phase transition.