Abstract

In this paper, we use the two-flavor Nambu–Jona-Lasinio model together with the proper time regularization that has both ultraviolet and infrared cutoffs to study the chiral phase transition at finite temperature and zero chemical potential. The involved model parameters in our calculation are determined in the traditional way. Our calculations show that the dependence of the results on the choice of the parameters are really small, which can then be regarded as an advantage besides such a regularization scheme is Lorentz invariant.

Highlights

  • It is already commonly accepted that Quantum Chromodynamics (QCD), which describes the interactions between quarks and gluons, is an essential part of the Standard Model of particle physics

  • The chiral and deconfinement phase transitions at finite temperature and/or nonzero quark chemical potential are of continuous interests for studying the QCD phase diagram.[1,2,3,4,5,6,7,8]

  • It is commonly accepted that NJL model is an important and valid effective quark theory, which is found to work rather well in describing phenomenologically the interaction which is responsible for the quark flavor dynamics at intermediate energies

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Summary

Introduction

It is already commonly accepted that Quantum Chromodynamics (QCD), which describes the interactions between quarks and gluons, is an essential part of the Standard Model of particle physics. Dynamical chiral symmetry breaking (DCSB) and quark color confinement are two fundamental. This is an Open Access article published by World Scientific Publishing Company. We will try to employ the proper time regularization (PTR) of the NJL model with both ultraviolet (UV) and infrared (IR) cutoffs, and study the chiral phase transition at finite temperature and zero chemical potential for the first step.

The NJL Model and Proper Time Regularization
Chiral Phase Transition at Finite Temperature
Summary
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