Multiple Critical Points in Effective Quark Models

Abstract

We consider the two flavor version of the Linear Sigma Model as well as of the Nambu Jona-Lasinio model, at finite temperature and quark chemical potential, beyond the Mean Field Approximation. Using parameter values for the pion and quark current masses which weakly break chiral symmetry we show that both models can present more than one critical end point. In particular, we explicitly show that the appearance of a new critical point associated with a first order line at high temperature and low densities could help to conciliate some lattice results with model predictions. Using different techniques, we perform an extensive thermodynamical analysis to understand the physical nature of the different critical points. For both models, our results suggest that the new first order line which starts at vanishing chemical potential has a more chiral character than the usual line which displays a character more reminiscent of a liquid-gas phase transition.

29 pages, 25 figures

References in corpus (50)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• NJL-model analysis of dense quark matter
• On the Phase Diagram of QCD
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• Universal properties of bulk viscosity near the QCD phase transition
• Universality, the QCD critical/tricritical point and the quark number susceptibility
• Chiral Phase Transition within Effective Models with Constituent Quarks
• The chiral critical line of N_f=2+1 QCD at zero and non-zero baryon density
• Hard-thermal-loop Resummation of the Free Energy of a Hot Gluon Plasma
• Susceptibilities near the QCD (tri)critical point
• Chiral transition in a strong magnetic background
• Bulk viscosity of QCD matter near the critical temperature
• Critical Points in the Linear Sigma Model with Quarks
• Vacuum fluctuations and the thermodynamics of chiral models
• Optimized Perturbation Theory at Finite Temperature
• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• Hard-thermal-loop Resummation of the Thermodynamics of a Hot Gluon Plasma
• Direct extraction of the chiral quark condensate and bounds on the light quark masses
• Sigma and hydrodynamic modes along the critical line
• Critical Behavior in Light Nuclear Systems: Experimental Aspects
• Critical surface in hot and dense QCD with the vector interaction
• Phase diagram and thermodynamics of the Polyakov linear sigma model with three quark flavors
• The QCD Chiral Condensate from the Lattice
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Gluon Thermodynamics at Intermediate Coupling
• Emergence of Tricritical Point and Liquid-Gas Phase in the Massless 2+1 Dimensional Gross-Neveu Model
• How parameters and regularization affect the PNJL model phase diagram and thermodynamic quantities
• Transition Temperature for Weakly Interacting Homogeneous Bose Gases
• Role of Fluctuations in the Linear Sigma Model with Quarks
• Convergent resummed linear delta expansion in the critical O(N) (ϕ_i^2)^2_{3d} model
• A new improved optimization of perturbation theory: applications to the oscillator energy levels and Bose-Einstein critical temperature
• Can a strong magnetic background modify the nature of the chiral transition in QCD?
• Thermodynamics and Phase Structure of the Two-Flavor Nambu--Jona-Lasinio Model Beyond Large-N_c
• Strong-Coupling ${\varphi }^4$-Theory in $4-\epsilon$ Dimensions and Critical Exponents
• Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions
• Chiral symmetry restoration in the three-dimensional four-fermion model at non-zero temperature and density
• Asymptotically Improved Convergence of Optimized Perturbation Theory in the Bose-Einstein Condensation Problem
• Non-universal Critical Quantities from Variational Perturbation Theory and Their Application to the BEC Temperature Shift
• Convergence of the Linear Delta Expansion in the Critical O(N) Field Theory
• Critical and Tricritical Points for the Massless 2d Gross-Neveu Model Beyond Large N
• Variational Solution of the Gross-Neveu Model: finite $N$ and Renormalization
• Renormalization Group Improved Optimized Perturbation Theory: Revisiting the Mass Gap of the O(2N) Gross-Neveu Model
• An Effective Lagrangian with Broken Scale and Chiral Symmetry III: Mesons at Finite Temperature
• An Effective Model for Hot Gluodynamics
• On the Convergence of the Linear Delta Expansion for the Shift in T_c for Bose-Einstein Condensation
• Exact 1/N and Optimized Perturbative Evaluation of mu_c for Homogeneous Interacting Bose Gases
• Chiral Symmetry and Heavy-Ion Collisions
• Order-dependent mappings: strong coupling behaviour from weak coupling expansions in non-Hermitian theories
• Critical Points in the QCD Phase Diagram with Two Flavors of Quarks

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• Revisiting the Phase Structure of the Polyakov-quark-meson Model in the presence of Vacuum Fermion Fluctuation
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• Chiral Transition Within Effective Quark Models Under Magnetic Fields
• The Surface Tension of Magnetized Quark Matter
• Effective models of two-flavor QCD: finite $\mu$ and $m_q$-dependence
• Dynamical Generation of a Repulsive Vector Contribution to the Quark Pressure
• Renormalization Group Optimized Perturbation Theory at Finite Temperatures
• Scale Invariant Resummed Perturbation at Finite Temperatures
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
• Chiral phase transition in a planar four-Fermi model in a tilted magnetic field
• Fluctuations and correlations of baryonic chiral partners
• Exploring criticality in the QCD-like two quark flavour models
• Roles of axial anomaly on neutral quark matter with color superconducting phase
• Vector-like contributions from Optimized Perturbation in the Abelian Nambu--Jona-Lasinio model for cold and dense quark matter
• On-shell versus curvature mass parameter fixing schemes in the quark-meson model and its phase diagrams
• Critical behavior of the 2d scalar theory: resumming the ${\mathrm{N}}^8\mathrm{LO}$ perturbative mass gap
• Anatomy of critical fluctuations in hadronic matter
• Probing nuclear liquid-gas phase transition with isospin correlations
• Arguing on entropic and enthalpic first-order phase transitions in strongly interacting matter
• Challenges in locating the QCD critical point via constant entropy density contours
• Photon emissivity in the vicinity of a critical point - A case study within the quark meson model
• Phase transitions and finite-size effects in integrable virial statistical models
• Imprints of a critical point on photon emission
• Bayesian Constraints on the Neutron Star Equation of State with a Smooth Hadron-Quark Crossover