Polyakov loop, diquarks and the two-flavour phase diagram

Abstract

An updated version of the PNJL model is used to study the thermodynamics of N_f = 2 quark flavors interacting through chiral four-point couplings and propagating in a homogeneous Polyakov loop background. Previous PNJL calculations are extended by introducing explicit diquark degrees of freedom and an improved effective potential for the Polyakov loop field. The input is fixed exclusively by selected pure-gauge lattice QCD results and by pion properties in vacuum. The resulting (T, μ) phase diagram is studied with special emphasis on the critical point, its dependence on the quark mass and on Polyakov loop dynamics. We present successful comparisons with lattice QCD thermodynamics expanded to finite chemical potential μ.

15 pages, 7 figures Discussion in section 2 has been extended. Legend of Fig. 7 has been corrected. Typographic errors have been removed. References have been supplemented

References in corpus (5)

• Susceptibilities and speed of sound from PNJL model
• Thermodynamics of the PNJL model
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• Model study of the sign problem in the mean-field approximation
• Coupling of pion condensate, chiral condensate and Polyakov loop in an extended NJL model

Cited by in corpus (391)

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• The strongly interacting Quark Gluon Plasma, and the critical behaviour of QCD at imaginary chemical potential
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• QCD phase diagram in a magnetized medium from the chiral symmetry perspective: The linear sigma model with quarks and the Nambu--Jona-Lasinio model effective descriptions
• Phenomenology of the three-flavor PNJL model and thermal strange quark production
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• Do lattice data constrain the vector interaction strength of QCD?
• Confinement and Z_3 symmetry in three-flavor QCD
• Dark Confinement-Deconfinement Phase Transition: A Roadmap from Polyakov Loop Models to Gravitational Waves
• Meson Masses and Mixing Angles in 2+1 Flavor Polyakov Quark Meson Sigma Model and Symmetry Restoration Effects
• Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot and dense matter in PNJL model
• Influence of vector interactions on the hadron-quark/gluon phase transition
• Width of the QCD transition in a Polyakov-loop DSE model
• Phase diagrams in the Hadron-PNJL model
• Deconfinement and chiral restoration in nonlocal SU(3) chiral quark models
• Dual quark condensate in the Polyakov-loop extended Nambu--Jona-Lasinio model
• Pion dissociation and Levinson's theorem in hot PNJL quark matter
• Control the model sign problem via path optimization method: Monte-Carlo approach to QCD effective model with Polyakov loop
• Deconfinement and chiral restoration in nonlocal PNJL models at zero and imaginary chemical potential
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• SU(3) Polyakov Linear Sigma-Model in an External Magnetic Field
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• Equation of state in the PNJL model with the entanglement interaction
• Deconfinement Transition at High Isospin Chemical Potential and Low Temperature
• Effective models of two-flavor QCD: finite $\mu$ and $m_q$-dependence
• Thermodynamics of Quasi-Particles at Finite Chemical Potential
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• Studies of the structure of massive hybrid stars within a modified NJL model
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• Another chiral critical end-point induced by neutral color superconductivity
• Dilepton production from magnetized quark matter with an anomalous magnetic moment of the quarks using a three-flavor PNJL model
• QCD-like theories at nonzero temperature and density
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• Thermodynamics and quark susceptibilities: a Monte-Carlo approach to the PNJL model
• QCD phase diagram at imaginary baryon and isospin chemical potentials
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• Color neutrality effects in the phase diagram of the PNJL model
• The axial anomaly and the phases of dense QCD
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• Polyakov linear SU(3) sigma model: features of higher order moments in dense and thermal hadronic medium
• Theta vacuum effects on QCD phase diagram
• Hadron-quark phase transition in a hadronic and Polyakov--Nambu--Jona-Lasinio models perspective
• Flavor Diagonal and Off-Diagonal Susceptibilities in a Quasiparticle Model of the Quark-Gluon Plasma
• Phase Transitions in Neutron Stars
• Thermodynamic properties and transport coefficients of QCD matter within the non-extensive Polyakov-Nambu-Jona-Lasinio model
• Understanding of QCD at high density from Z3-symmetric QCD-like theory
• Medium induced Lorentz symmetry breaking effects in nonlocal PNJL models
• Role of mesonic fluctuations in the Polyakov loop extended quark-meson model at imaginary chemical potential
• Phenomenological QCD equations of state for neutron star dynamics: Nuclear-2SC continuity and evolving effective couplings
• High-Energy Phase Diagrams with Charge and Isospin Axes under Heavy-Ion Collision and Stellar Conditions
• Correlations among discontinuities in QCD phase diagram
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• Mott dissociation of pions and kaons in hot, dense quark matter
• Phase diagram and nucleation in the Polyakov-loop-extended Quark-Meson truncation of QCD with the unquenched Polyakov-loop potential
• Strange quark chiral phase transition in hot 2+1-flavor magnetized quark matter
• Strong magnetic fields in nonlocal chiral quark models
• Quark-Hadron Matter at Finite Temperature and Density in a Two-Color PNJL model
• Fluctuations and Correlations of Conserved Charges in the $(2+1)$ Polyakov Quark Meson Model
• Theta vacuum and entanglement interaction in the three-flavor Polyakov-loop extended Nambu-Jona-Lasinio model
• Meson mass at real and imaginary chemical potentials
• Polyakov-Nambu-Jona-Lasinio phase diagrams and quarkyonic phase from order parameters
• Determination of the strength of the vector-type four-quark interaction in the entanglement Polyakov-extended Nambu-Jona-Lasino model
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• Thermodynamic potential with correct asymptotics for PNJL model
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• Fluctuations and phases in baryonic matter
• Polyakov--Nambu--Jona-Lasinio model in finite volumes
• Thermodynamic instabilities in dynamical quark models with complex conjugate mass poles
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
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• SU(3) Polyakov Linear $\sigma$-Model in Magnetic Field: Thermodynamics, Higher-Order Moments, Chiral Phase Structure and Meson Masses
• Spinodal Instabilities of Baryon-Rich Quark-gluon Plasma in the PNJL Model
• Application of the path optimization method to the sign problem in an effective model of QCD with a repulsive vector-type interaction
• SU(3) Polyakov linear-sigma model: Magnetic properties of QCD matter in thermal and dense medium
• Phase structure of two-color QCD at real and imaginary chemical potentials; lattice simulations and model analyses
• Study of Beta Equilibrated 2+1 Flavor Quark Matter in PNJL Model
• Three-loop HTLpt thermodynamics at finite temperature and chemical potential
• Phase diagram of hot and dense QCD constrained by the Statistical Model
• Phase diagram of Nambu-Jona-Lasinio model with dimensional regularization
• Nonuniform phases in a three-flavor Nambu--Jona-Lasinio model
• Reparametrizing the Polyakov$-$Nambu$-$Jona-Lasinio model
• Enhancement of quark number susceptibility with an alternative pattern of chiral symmetry breaking in dense matter
• Average phase factor in the PNJL model
• SU(3) Polyakov Linear-Sigma Model With Finite Isospin Asymmetry: QCD Phase Diagram
• Finite size effects in strongly interacting matter at zero chemical potential from Polyakov loop Nambu-Jona-Lasinio model in the light of lattice data
• Repulsive properties of hadrons in lattice QCD data and neutron stars
• Effects of Hadron-Quark Phase Transitions in Hybrid Stars within the NJL Model
• Chiral phase structure and sixteen meson states in SU(3) Polyakov linear-sigma model at finite temperature and chemical potential in strong magnetic field
• Speed of sound in QCD matter
• Pion and $\eta$-meson mass splitting at the two-flavour chiral crossover
• Spectral function and dilepton rate from a strongly magnetised hot and dense medium in the light of mean field models
• Mean field approach to flavor susceptibilities with a vector interaction
• Phase transition of strongly interacting matter with a chemical potential dependent Polyakov loop potential
• Multiple critical end points in magnetized three flavor quark matter
• Anisotropic pressure of magnetized quark matter with anomalous magnetic moment
• Topological deconfinement transition in QCD at finite isospin density
• Core collapse supernovae in the QCD phase diagram
• On the neutrality issue in the Polyakov-loop NJL model
• Axial anomaly and the three-flavor Nambu--Jona-Lasinio model with confinement: Constructing the QCD phase diagram
• Quark and Polyakov-loop correlations in effective models at zero and non-vanishing density
• Chiral Symmetry Restoration and Deconfinement to Quark Matter in Neutron Stars
• Thermodynamics of strongly interacting matter in a hybrid model
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Chiral magnetic properties of QCD phase-diagram
• Effects of Model Parameters in Thermodynamics of the PNJL Model
• Temperature and Strong Magnetic Field Effects in Dense Matter
• Euler-Heisenberg-Weiss action for QCD+QED
• The Instanton-Dyon Liquid Model III: Finite Chemical Potential
• Themodynamics for pure SU($2$) gauge theory using gradient flow
• Determination of $U(1{)}_{\mathrm{A}}$ restoration from pion and $a_0$-meson screening masses: Toward the chiral regime
• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• Exploring criticality in the QCD-like two quark flavour models
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model
• The nNJL model with a fractional Lorentzian regulator in the real time formalism
• The consequences of SU(3) colorsingletness, Polyakov Loop and Z(3) symmetry on a quark-gluon gas
• Effects of quarks on the formation and evolution of Z(3) walls and strings in relativistic heavy-ion collisions
• Properties of magnetized neutral pions at zero and finite temperature in nonlocal chiral quark models
• Deformed QCD phase structure and entropy oscillation in the presence of a magnetic background
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Magnetic field dependent 't Hooft determinant extended Nambu--Jona-Lasinio Model
• In medium properties of axion within a Polyakov loop enhanced Nambu-Jona-Lasinio model
• Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
• Meson properties and phase diagrams in a SU(3) nlPNJL model with lQCD-inspired form factors
• Bulk viscosity of hot dense Quark matter in PNJL model
• Chiral Magnetic Effect and Chiral Phase Transition
• PNJL model at zero temperature: three-flavor case
• Thermodynamical phases in a PNJL model at zero temperature
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• The presence of a critical end point in the QCD phase diagram from the net-baryon number fluctuations
• Effects of entanglement and instanton suppression at finite temperature in a SU(2) EPNJL model with anomaly
• Comparison between the continuum threshold and the Polyakov loop as deconfinement order parameters
• The fate of the critical endpoint at large $N_c$
• Modern nuclear and astrophysical constraints of dense matter in a renormalized chiral approach
• Neutron Stars as a Probe for Dense Matter
• Effective model approach to meson screening masses at finite temperature
• Chiral condensate and chemical freeze-out
• QCD phase diagram: an overview
• Equation of state and transition temperatures in the quark-hadron hybrid model
• Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance
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• Investigation of meson masses for real and imaginary chemical potential
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• Strange matter and kaon to pion ratio in SU(3) PNJL model
• The QCD Phase Diagram from Chiral Approaches
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• Second look to the Polyakov Loop Nambu-Jona-Lasinio model at finite baryonic density
• The strange critical endpoint and isentropic trajectories in an Extended PNJL Model with Eight Quark Interactions
• Vector and axial-vector meson properties in a nonlocal SU(2) PNJL model
• Anisotropy of magnetized quark matter
• QCD phase diagram and critical exponents within the nonextensive Polyakov-Nambu-Jona-Lasinio model
• Chiral condensate and Mott-Anderson freeze-out
• Deconfinement vs. chiral symmetry and higher representation matter
• Quark scattering off quarks and hadrons
• Asymmetric pairing of realistic mass quarks and color neutrality in the Polyakov--Nambu--Jona-Lasinio model of QCD
• Dual condensates at finite isospin chemical potential
• QCD Equation of State and Cosmological Parameters in Early Universe
• Inhibition of splitting of the chiral and deconfinement transition due to rotation in QCD: the phase diagram of linear sigma model coupled to Polyakov loop
• Quark-hadron phase structure of QCD matter from SU($4$) Polyakov linear sigma model
• A quarksonic matter at high isospin density
• Temperature Dependence of the Effective Bag Constant and the Radius of a Nucleon in the Global Color Symmetry Model of QCD
• Phase diagram for strongly interacting matter in the presence of a magnetic field using the Polyakov-Nambu-Jona-Lasinio model with magnetic field dependent coupling strengths
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• A PNJL model in 0+1 Dimensions
• Nonextensive effects on QCD chiral phase diagram and baryon-number fluctuations within Polyakov-Nambu-Jona-Lasinio model
• Strange quark matter as dark matter: 40 years later, a reappraisal
• Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models
• Thermal effects on sound velocity peak and conformality in isospin QCD
• Scale and confinement phase transitions in scale invariant $SU(N)$ scalar gauge theory
• Symmetry energy in cold dense matter
• Influence of the vector interaction and an external magnetic field on the isentropes near the chiral critical end point
• Role of the conserved charges in the chiral symmetry restoration phase transition
• Chiral Magnetic Effect and QCD Phase Transitions with Effective Models
• From QCD Symmetries to Nuclei and Neutron Stars
• A unified quark-nuclear matter equation of state from the cluster virial expansion within the generalized Beth-Uhlenbeck approach
• Domain growth and fluctuations during quenched transition to QGP in relativistic heavy-ion collisions
• Mass dependence of the deconfinement and chiral restoration critical temperatures in nonlocal SU(2) PNJL models
• On SU(3) effective models and chiral phase-transition
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• Magnetic susceptibility of the QCD vacuum in a nonlocal SU(3) PNJL model
• Effect of finite volume on thermodynamics of quark-hadron matter
• Correction to the Chiral Magnetic Effect from axial-vector interaction
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• Dense Baryonic Matter and Strangeness in Neutron Stars
• Nucleon Properties in the Polyakov Quark Meson Model
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• Bulk viscosity in strong and electroweak matter
• $Z_3$ meta-stable states in PNJL model
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• Model analysis on thermal UV-cutoff effects on the critical boundary in hot QCD
• Crossover-model approach to QCD phase diagram, equation of state and susceptibilities in the 2+1 and 2+1+1 flavor systems
• Nonlocal quark model beyond mean field and QCD phase transition
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• Roberge-Weiss periodicity, canonical sector and modified Polyakov-loop
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• Anatomy of the dense QCD matter from canonical sectors
• A practical solution to the sign problem at finite theta-vacuum angle
• Practical approach to the sign problem at finite theta-vacuum angle
• Vector meson spectral function and dilepton rate in the presence of strong entanglement effect between the chiral and the Polyakov loop dynamics
• Determination of hadron-quark phase transition line from lattice QCD and two-solar-mass neutron star observations
• QCD phase diagram and charge fluctuations
• Quark mass dependence of thermal excitations in QCD in one-loop approximation
• Thermodynamical properties of strongly interacting matter in a model with explicit chiral symmetry breaking interactions
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter
• The vacuum tunnelling and the crossover of deconfinement in Friedberg-Lee model
• Deconfinement to Quark Matter in Magnetars
• Quark confinement in an equiparticle quark model: application to stellar matter
• Model analysis of thermal UV-cutoff effects on the chiral critical surface at finite temperature and chemical potential
• Using the Beth-Uhlenbeck approach to describe the kaon to pion ratio in a 2+1 flavor PNJL model
• Generalized Nambu-Goldstone pion in dense matter: a schematic NJL model
• Roberge-Weiss transitions at different center symmetry breaking patterns in a ${\mathbb{Z}}_3$-QCD model
• Response functions of hot and dense matter in the Nambu-Jona-Lasino model
• Relation between the continuum threshold and the Polyakov loop with the QCD deconfinement transition
• Properties of 2+1-flavor QCD in the imaginary chemical potential region: model prediction
• Quark matter with an anisotropic momentum distribution
• Bubble dynamics in the Polyakov quark-meson model
• Dual meson condensates in the Polyakov-loop extended linear sigma model
• The Role of Color-Magnetic Monopoles in a Gluonic Plasma
• QCD equation of state: Physical quark masses and asymptotic temperatures
• Phase diagram and pion modes of the neutral Nambu-Jona Lasinio model with the Polyakov loop
• Quark flavors in hot and dense holographic QCD: setup and comparison to data
• Monte-Carlo simulations of QCD Thermodynamics in the PNJL model
• Phases of Hadron-Quark Matter in (Proto) Neutron Stars
• Compact Stars in Hadron and Quark-Hadron Models
• Study of net-baryon higher moments in PNJL model and their expectation for net-proton using the Subensemble Acceptance Method for the search of QCD critical point
• Nonlocal chiral quark models with Polyakov loop at finite temperature and chemical potential
• Unified Functional-Holographic Theory of the QCD Critical End Point
• Extrapolation for meson screening masses from imaginary to real chemical potential
• Low-energy QCD and hadronic structure
• Selected challenges in low-energy QCD and hadron physics
• Dynamical formation of center domains in quark-gluon plasma
• Massive Gauge Theory with Quasigluon for Hot $SU(N)$: Phase Transition and Thermodynamics
• Non-local quark models for description of dense matter in the cores of neutron stars
• Quark mass effects in the thermodynamical properties of an extended (P)NJL model
• Gluon condensate from the Polyakov loop
• Isospin asymmetric matter in a nonlocal chiral quark model
• Susceptibilities and the Phase Structure of an Effective Chiral Model with Polyakov Loops
• Mesons and diquarks in a color superconducting regime
• Chiral, parity-doublet, effective-Lagrangian mean-field theories for nuclear and astrophysical phenomenology
• Isentropic thermodynamics across the hadron-quark mixed phase in a two-phase model with a PNJL quark description
• Expanding the thermodynamical potential and the analysis of the possible phase diagram of deconfinement in FL model
• Kinetics of the chiral phase transition in a quark-meson $\sigma$ model
• Pseudoscalar mesons from a PNJL model at zero temperature
• Non-extensive Effects on the QCD Equation of State and Fluctuations of Conserved Charges within Polyakov Quark Meson Model
• Baryons in the Nambu Jona-Lasinio models
• Symmetries and symmetry breaking patterns in QCD: chiral and deconfinement transitions