Degrees of freedom and the phase transitions of two flavor QCD

Abstract

We study two effective models for QCD, the Nambu-Jona-Lasinio -model and the linear sigma model extended by including a Polyakov loop potential, which is fitted to reproduce pure gauge theory thermodynamics, and a coupling between the chiral fields and the Polyakov loop. Thus the resulting models have as relevant degrees of freedom the Polyakov loop and chiral fields. By comparing the extended models with the bare chiral models we can conclude that the addition of the Polyakov loop is necessary in order to obtain both qualitatively and quantitatively correct results at finite temperatures. These results are extended to finite net quark densities, several thermodynamical quantites are investigated in detail and possible applications and consequences for relativistic heavy ion collision phenomenology are discussed.

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Cited by in corpus (44)

• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• A holographic model for QCD in the Veneziano limit at finite temperature and density
• Phase diagram and thermodynamics of the Polyakov linear sigma model with three quark flavors
• Hot Quark Matter with an Axial Chemical Potential
• Phase diagram and critical properties within an effective model of QCD: the Nambu-Jona-Lasinio model coupled to the Polyakov loop
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Dynamical net-proton fluctuations near a QCD critical point
• Chiral transition in a magnetic field and at finite baryon density
• How parameters and regularization affect the PNJL model phase diagram and thermodynamic quantities
• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter
• Fluctuations and isentropes near the chiral critical endpoint
• Revisiting the Phase Structure of the Polyakov-quark-meson Model in the presence of Vacuum Fermion Fluctuation
• QCD phase diagram at finite baryon and isospin chemical potentials in Polyakov loop extended quark meson model with vector interaction
• Formation of droplets with high baryon density at the QCD phase transition in expanding matter
• Isentropic thermodynamics in the PNJL model
• Quantum and stringy corrections to the equation of state of holographic QCD matter and the nature of the chiral transition
• Meson Masses and Mixing Angles in 2+1 Flavor Polyakov Quark Meson Sigma Model and Symmetry Restoration Effects
• SU(3) Polyakov Linear Sigma-Model in an External Magnetic Field
• Effective models of two-flavor QCD: finite $\mu$ and $m_q$-dependence
• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• Color neutrality effects in the phase diagram of the PNJL model
• Polyakov linear SU(3) sigma model: features of higher order moments in dense and thermal hadronic medium
• Polyakov-Nambu-Jona-Lasinio phase diagrams and quarkyonic phase from order parameters
• Effective models of two-flavor QCD: from small towards large $m_q$
• SU(3) Polyakov Linear $\sigma$-Model in Magnetic Field: Thermodynamics, Higher-Order Moments, Chiral Phase Structure and Meson Masses
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
• Impact of the vector interaction on the phase structure of QCD matter
• Study of Beta Equilibrated 2+1 Flavor Quark Matter in PNJL Model
• Reparametrizing the Polyakov$-$Nambu$-$Jona-Lasinio model
• Thermodynamics of strongly interacting matter in a hybrid model
• Exploring criticality in the QCD-like two quark flavour models
• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• A renormalized large-n solution of the U(n) x U(n) linear sigma model in the broken symmetry phase
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Influence of finite volume effect on the Polyakov Quark-Meson model
• Thermodynamics and higher order moments in SU(3) linear $\sigma$-model with gluonic quasi-particles
• Deconfinement vs. chiral symmetry and higher representation matter
• On-shell versus curvature mass parameter fixing schemes in the quark-meson model and its phase diagrams
• A PNJL model in 0+1 Dimensions
• On SU(3) effective models and chiral phase-transition
• Chiral symmetry breaking patterns in the U_L(n)xU_R(n) meson model
• Finite size effects in the thermodynamics of a free neutral scalar field
• The vacuum tunnelling and the crossover of deconfinement in Friedberg-Lee model
• Expanding the thermodynamical potential and the analysis of the possible phase diagram of deconfinement in FL model