The Chiral Phase Transition and Thermodynamic Properties in the Nambu-Jona-Lasinio Model Using the Midpoint Technique

Abstract

A midpoint method is introduced to calculate the chiral phase transition and thermodynamic properties in the Nambu-Jona-Lasinio (NJL) model with two flavors (u,d). The constituent quark mass, the pressure, the energy density, and the entropy are calculated in the mean-field approximation using the midpoint technique. The phase transition was found to be crossover for all values of bare quark mass. The effect of finite temperature and chemical potential on the thermodynamic properties is studied. A comparison with other models is presented. In addition, the advantages of the midpoint technique are discussed. In conclusion, the midpoint technique successfully predicts the phase transition and thermodynamic properties with a good accuracy for numerical integrals.