Chiral susceptibility and chiral phase transition in Nambu–Jona-Lasinio model

2006/10/28 by Yue Zhao, Lei Chang, Wei Yuan +2
Physics and Astronomy · #Chiral anomaly #Chiral model #Condensed matter physics #Fermion #High-Energy Particle Collisions Research #Mathematical physics #Nambu–Jona-Lasinio model #Particle physics #Particle physics theoretical and experimental studies #Phase (matter) #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #hep-ph #nucl-th

paper · pdf · doi:10.1140/epjc/s10052-008-0673-8

published as European Physical Journal C 56: 483-492 (2008) · 21 pages, 6 figures, misprints are corrected

arxiv created 2006/10/28 · openalex publication_date 2008/08/01 · openalex created_date 2016/06/24 · arxiv updated 2017/01/11 · openalex updated_date 2026/08/05

Abstract

We study the solutions of the gap equation, the thermodynamic potential and the chiral susceptibility in and beyond the chiral limit at finite chemical potential in the Nambu--Jona-Lasinio (NJL) model. We give an explicit relation between the chiral susceptibility and the thermodynamic potential in the NJL model. We find that the chiral susceptibility is a quantity being able to represent the furcation of the solutions of the gap equation and the concavo-convexity of the thermodynamic potential in NJL model. It indicates that the chiral susceptibility can identify the stable state and the possibility of the chiral phase transition in NJL model.

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