Critical behaviors near the (tri-)critical end point of QCD within the NJL model

Abstract

We investigate the dynamical chiral symmetry breaking and its restoration at finite density and temperature within the two-flavor Nambu-Jona-Lasinio model, and mainly focus on the critical behaviors near the critical end point (CEP) and tricritical point (TCP) of quantum chromodynamics. The multi-solution region of the Nambu and Wigner ones is determined in the phase diagram for the massive and massless current quark, respectively. We use the various susceptibilities to locate the CEP/TCP and then extract the critical exponents near them. Our calculations reveal that the various susceptibilities share the same critical behaviors for the physical current quark mass, while they show different features in the chiral limit.

References in corpus (18)

• Performance of the ALICE Experiment at the CERN LHC
• Beam energy dependence of moments of the net-charge multiplicity distributions in Au+Au collisions at RHIC
• Phase diagram and critical endpoint for strongly-interacting quarks
• Susceptibilities near the QCD (tri)critical point
• Modern compact star observations and the quark matter equation of state
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• $\bar{q}q$ condensate for light quarks beyond the chiral limit
• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• The QCD critical end point in the SU(3) Nambu--Jona-Lasinio model
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• Existence and stability of multiple solutions to the gap equation
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Cited by in corpus (19)

• Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at energies available at the BNL Relativistic Heavy Ion Collider
• A Study of the Properties of the QCD Phase Diagram in High-Energy Nuclear Collisions
• Functional renormalization group study of the Quark-Meson model with $\omega$ meson
• Quantum Simulation of Chiral Phase Transitions
• Superstatistics and the effective QCD phase diagram
• Finite-volume effects on phase transition in the Polyakov-loop extended Nambu-Jona-Lasinio model with a chiral chemical potential
• Thermodynamics and susceptibilities of isospin imbalanced QCD matter
• Centrality selection effect on higher-order cumulants of net-proton multiplicity distributions in relativistic heavy-ion collisions
• Fluctuating temperature and baryon chemical potential in heavy-ion collisions and the position of the critical end point in the effective QCD phase diagram
• On the critical end point in a two-flavor linear sigma model coupled to quarks
• Search for the QCD Critical Point by Transverse Velocity Dependence of Anti-deuteron to Deuteron Ratio
• A new algorithm towards quasi-Wigner solution of the gap equation beyond the chiral limit
• Chiral phase transition from the Dyson-Schwinger equations in a finite spherical volume
• New algorithm to study the pseudo-Wigner solution of the quark gap equation in the framework of the (2+1)-flavor NJL model
• QCD phase diagram and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model
• Effects of centrality fluctuation and deuteron formation on proton number cumulant in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 3 GeV from JAM model
• Centrality determination with a forward detector in the RHIC Beam Energy Scan
• Transport properties and equation-of-state of hot and dense QGP matter near the critical end-point in the phenomenological dynamical quasi-particle model
• Phase structures of neutral dense quark matter and application to strange stars