Chiral Phase Transition within Effective Models with Constituent Quarks

Abstract

We investigate the chiral phase transition at nonzero temperature $T$ and baryon-chemical potential ${\mu }_B$ within the framework of the linear sigma model and the Nambu-Jona-Lasinio model. For small bare quark masses we find in both models a smooth crossover transition for nonzero $T$ and ${\mu }_B=0$ and a first order transition for T=0 and nonzero ${\mu }_B$. We calculate explicitly the first order phase transition line and spinodal lines in the $(T,{\mu }_B)$ plane. As expected they all end in a critical point. We find that, in the linear sigma model, the sigma mass goes to zero at the critical point. This is in contrast to the NJL model, where the sigma mass, as defined in the random phase approximation, does not vanish. We also compute the adiabatic lines in the $(T,{\mu }_B)$ plane. Within the models studied here, the critical point does not serve as a ``focusing'' point in the adiabatic expansion.

22 pages, 18 figures

References in corpus (11)

• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Signatures of the Tricritical Point in QCD
• On the Phase Diagram of QCD
• The Time-Delay Signature of Quark-Gluon-Plasma Formation in Relativistic Nuclear Collisions
• The phase diagram and bulk thermodynamical quantities in the NJL model at finite temperature and density
• Non-Equilibrium Phase Transition in Rapidly Expanding Matter
• Chiral Fluid Dynamics and Collapse of Vacuum Bubbles
• Statistical Properties of the Linear Sigma Model
• First-order chiral phase transition may naturally lead to the ``quenched'' initial condition and strong soft-pion fields
• Unusual bound states of quark matter within the NJL model
• On the QCD Phase Transition at Finite Baryon Density

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