Relation Between Chiral Susceptibility and Solutions of Gap Equation in Nambu--Jona-Lasinio Model

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.

21 pages, 6 figures, misprints are corrected

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Cited by in corpus (15)

• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Phase diagram and critical endpoint for strongly-interacting quarks
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Chiral susceptibility and the scalar Ward identity
• Chemical potential and the gap equation
• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• Interface Tension and Interface Entropy in 2+1 Flavour Nambu-Jona-Lasino Model
• Existence and stability of multiple solutions to the gap equation
• Thermodynamics and susceptibilities of isospin imbalanced QCD matter
• Discussions on the crossover property within the Nambu--Jona-Lasinio model
• Nature of chiral phase transition in QED${}_3$ at zero density
• Thermodynamic Geometry of Nambu -- Jona Lasinio model
• The mass and spectral function of scalar and pseudoscalar mesons in a hot and chirally imbalanced medium using the two-flavor NJL model
• Constraining the Hadron-Quark Phase Transition Chemical Potential via Astronomical Observation