$\pi$ and $\sigma$ mesons at finite temperature and density in the NJL model with dimensional regularization

TL;DR

This paper investigates how $mbda$ and $mbda$ mesons behave at finite temperature and density within the NJL model using dimensional regularization, focusing on meson masses and symmetry breaking.

Contribution

It applies dimensional regularization to study meson properties at finite temperature and density in the NJL model, addressing non-renormalizability issues and parameter fixing.

Findings

Meson masses depend on temperature and chemical potential.

Parameters fixed by pion mass and decay constant at zero T and mbda.

Dimensional regularization influences physical results.

Abstract

Dynamical Symmetry breaking and meson masses are studied in the Nambu-Jona-Lasinio (NJL) model at finite temperature and chemical potential using the dimensional regularization. Since the model is not renormalizable in four space-time dimensions, physical results and parameters depend on the regularization method. Following the imaginary time formalism, we introduce the temperature, $T$ and the chemical potential, $\mu$. The parameters in the model are fixed by calculating the pion mass and decay constant in the dimensional regularization at $T=\mu=0$.