Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop

Abstract

We investigate the properties of scalar and pseudo-scalar mesons at finite temperature and quark chemical potential in the framework of the Nambu-Jona-Lasinio (NJL) model coupled to the Polyakov loop (PNJL model) with the aim of taking into account features of both chiral symmetry breaking and deconfinement. The mesonic correlators are obtained by solving the Schwinger-Dyson equation in the RPA approximation with the Hartree (mean field) quark propagator at finite temperature and density. In the phase of broken chiral symmetry a narrower width for the sigma meson is obtained with respect to the NJL case; on the other hand, the pion still behaves as a Goldstone boson. When chiral symmetry is restored, the pion and sigma spectral functions tend to merge. The Mott temperature for the pion is also computed.

24 pages, 9 figures, version to appear in Phys. Rev. D

References in corpus (41)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• Thermodynamics of SU(3) Lattice Gauge Theory
• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• What RHIC Experiments and Theory tell us about Properties of Quark-Gluon Plasma ?
• Polyakov loop, diquarks and the two-flavour phase diagram
• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• Behavior of Charmonium Systems after Deconfinement
• First Measurement of the rho Spectral Function in High-Energy Nuclear Collisions
• Quark-Gluon Plasma as a Condensate of Z(3) Wilson Lines
• Towards a Theory of Binary Bound States in the Quark-Gluon Plasma
• Hadronic fluctuations at the QCD phase transition
• Baryon-strangeness correlations: a diagnostic of strongly interacting matter
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• Polyakov loop in chiral quark models at finite temperature
• Susceptibilities and speed of sound from PNJL model
• Heavy Quarkonia in Quark-Gluon Plasma
• Phenomenological Equations of State for the Quark-Gluon Plasma
• The phase diagram and bulk thermodynamical quantities in the NJL model at finite temperature and density
• Confinement versus Chiral Symmetry
• Comprehensive Interpretation of Thermal Dileptons at the SPS
• Quarkonia Correlators Above Deconfinement
• Heavy quark bound states above $T_c$
• What do lattice baryonic susceptibilities tell us about quarks, diquarks and baryons at $T>Tc$?
• Hadronic Modes and Quark Properties in the Quark-Gluon Plasma
• Finite Temperature Meson Correlation Functions in HTL Approximation
• Mesonic correlation lengths in high-temperature QCD
• Gluon Quasiparticles and the Polyakov Loop
• Pseudoscalar neutral mesons in hot and dense matter
• Pseudoscalars Mesons in Hot, Dense Matter
• Properties of hadron screening masses at small baryonic density
• Quark Spectrum above but near Critical Temperature of Chiral Transition
• Meson loop effects in the NJL model at zero and non-zero temperature
• Mass and Width of the Rho Meson in a Nuclear Medium from Brown-Rho Scaling and QCD Sum Rules
• Lattice calculations of meson correlators and spectral functions at finite temperature
• Meson correlation functions in a QCD plasma
• Finite momentum meson correlation functions in a QCD plasma
• Meson correlators above deconfinement
• Investigation of meson loop effects in the Nambu-Jona-Lasinio model
• Hadronic current correlation functions at finite temperature in the NJL model

Cited by in corpus (164)

• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Hadron Production in Ultra-relativistic Nuclear Collisions: Quarkyonic Matter and a Triple Point in the Phase Diagram of QCD
• Charmonium and bottomonium production in heavy-ion collisions
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• Transport coefficients from the Nambu-Jona-Lasinio model for $SU(3{)}_f$
• The chiral and deconfinement crossover transitions: PNJL model beyond mean field
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Dynamics and thermodynamics of a nonlocal Polyakov--Nambu--Jona-Lasinio model with running coupling
• Thermodynamics of the PNJL model with nonzero baryon and isospin chemical potentials
• The hadronic SU(3) Parity Doublet Model for Dense Matter, its extension to quarks and the strange equation of state
• Critical endpoint in the Polyakov-loop extended NJL model
• An effective chiral Hadron-Quark Equation of State
• Entanglement between deconfinement transition and chiral symmetry restoration
• Quark number susceptibilities: lattice QCD versus PNJL model
• Existence of the critical endpoint in the vector meson extended linear sigma model
• Polyakov loop extended NJL model with imaginary chemical potential
• Phase diagram and critical properties within an effective model of QCD: the Nambu-Jona-Lasinio model coupled to the Polyakov loop
• Thermodynamic Properties of Strongly Interacting Matter in a Finite Volume using the Polyakov-Nambu-Jona-Lasinio model
• PNJL model with a Van der Monde term
• Scalar-pseudoscalar meson behavior and restoration of symmetries in SU(3) PNJL model
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Nonlocal PNJL model beyond mean field and the QCD phase transition
• Thermodynamics of a three-flavor nonlocal Polyakov--Nambu--Jona-Lasinio model
• Two-color quark matter: U(1)_A restoration, superfluidity, and quarkyonic phase
• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Determination of QCD phase diagram from the imaginary chemical potential region
• The QCD critical end point in the PNJL model
• How parameters and regularization affect the PNJL model phase diagram and thermodynamic quantities
• Properties of Mesons in a Strong Magnetic Field
• Generalized Beth--Uhlenbeck approach to mesons and diquarks in hot, dense quark matter
• Quarkyonic phase from quenched dynamical holographic QCD model
• Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model
• Small shear viscosity in the semi quark gluon plasma
• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• Are there hadronic bound states above the QCD transition temperature?
• Dark Confinement and Chiral Phase Transitions: Gravitational Waves vs Matter Representations
• Electrical neutrality and pion modes in the two flavor PNJL model
• Roberge-Weiss phase transition and its 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
• Supercool exit: Gravitational waves from QCD-triggered conformal symmetry breaking
• Hard thermal loops, to quadratic order, in the background of a spatial 't Hooft loop
• The problem of repulsive quark interactions - Lattice versus mean field models
• Critical endpoint in the presence of a chiral chemical potential
• Susceptibilities with multi-quark interactions in PNJL model
• Effects of mesonic correlations in the QCD phase transition
• Vector-type four-quark interaction and its impact on QCD phase structure
• Enforced neutrality and color-flavor unlocking in the three-flavor Polyakov-loop NJL model
• D mesons at finite temperature and density in the PNJL model
• Correlation between conserved charges in PNJL Model with multi-quark interactions
• Phenomenology of the three-flavor PNJL model and thermal strange quark production
• Meson Masses and Mixing Angles in 2+1 Flavor Polyakov Quark Meson Sigma Model and Symmetry Restoration Effects
• Phase diagrams in the Hadron-PNJL model
• 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
• Finite-volume effects on phase transition in the Polyakov-loop extended Nambu-Jona-Lasinio model with a chiral chemical potential
• Pion dissociation and Levinson's theorem in hot PNJL quark matter
• Impact of a thermal medium on $D$ mesons and their chiral partners
• Shear viscosity and electric conductivity of a hot and dense QGP with a chiral phase transition
• Equation of state of a quark-meson mixture in the improved-PNJL model at finite chemical potential
• Studies of the structure of massive hybrid stars within a modified NJL model
• Mesonic Excitations of QGP: Study with an Effective Model
• Number of the QCD critical points with neutral color superconductivity
• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• Dilepton production from magnetized quark matter with an anomalous magnetic moment of the quarks using a three-flavor PNJL model
• Another chiral critical end-point induced by neutral color superconductivity
• Shear Viscosity and Phase Diagram from Polyakov$-$Nambu$-$Jona-Lasinio model
• Quark-Hadron Phase Transition in the PNJL model for interacting quarks
• Flavor dependence of baryon melting temperature in effective models of QCD
• QCD phase diagram at imaginary baryon and isospin chemical potentials
• Hadron-quark phase transition in a hadronic and Polyakov--Nambu--Jona-Lasinio models perspective
• Medium induced Lorentz symmetry breaking effects in nonlocal PNJL models
• Vector meson spectral function and dilepton production rate in a hot and dense medium within an effective QCD approach
• Mott dissociation of pions and kaons in hot, dense quark matter
• Correlations among discontinuities in QCD phase diagram
• Quark-Hadron Matter at Finite Temperature and Density in a Two-Color PNJL model
• Polyakov-Nambu-Jona-Lasinio phase diagrams and quarkyonic phase from order parameters
• Meson mass at real and imaginary chemical potentials
• Deconfinement and chiral phase transitions in quark matter with a strong electric field
• Model prediction for temperature dependence of meson pole masses from lattice QCD results on meson screening masses
• Thermodynamic potential with correct asymptotics for PNJL model
• OZI violating eight-quark interactions as a thermometer for chiral transitions
• Polyakov-loop suppression of colored states in a quark-meson-diquark plasma
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
• Quark-hadron phase transition in a three flavor PNJL model for interacting quarks
• Impact of the vector interaction on the phase structure of QCD matter
• Thermal properties of light mesons from holography
• Enhancement of quark number susceptibility with an alternative pattern of chiral symmetry breaking in dense matter
• Average phase factor in the PNJL model
• Meson Screening Masses in the Interacting QCD Plasma
• Effects of QCD critical point on light nuclei production
• Isentropic evolution of the matter in heavy-ion collisions and the search for the critical endpoint
• Spectral function and dilepton rate from a strongly magnetised hot and dense medium in the light of mean field models
• Chiral Symmetry Restoration and Quark Deconfinement beyond Mean Field in a Magnetized PNJL Model
• Quark and Polyakov-loop correlations in effective models at zero and non-vanishing density
• Effects of Model Parameters in Thermodynamics of the PNJL Model
• Four-quark scatterings in QCD II
• 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
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Determination of $U(1{)}_{\mathrm{A}}$ restoration from pion and $a_0$-meson screening masses: Toward the chiral regime
• Transport responses from rate of decay and scattering processes in the Nambu--Jona-Lasinio model
• Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model
• The phase diagram of the Polyakov Nambu Jona-Lasinio approach for finite chemical potentials
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• Bulk viscosity of hot dense Quark matter in PNJL model
• Restoration of chiral symmetry in the large-N_c limit
• Effects of entanglement and instanton suppression at finite temperature in a SU(2) EPNJL model with anomaly
• Effective model approach to meson screening masses at finite temperature
• Thermodynamical phases in a PNJL model at zero temperature
• PNJL model at zero temperature: three-flavor case
• The fate of the critical endpoint at large $N_c$
• 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
• Chiral condensate and chemical freeze-out
• Impact of different extended components of mean field models on transport coefficients of quark matter and their causal aspects
• An effective thermodynamic potential from the instanton with Polyakov-loop contributions
• The QCD Phase Diagram from Chiral Approaches
• Thermal nonlocal Nambu--Jona-Lasinio model in the real time formalism
• The strange critical endpoint and isentropic trajectories in an Extended PNJL Model with Eight Quark Interactions
• Decay of a scalar $\sigma$-meson near the critical end-point in the PNJL model
• Thermodynamics of the Glueball Resonance Gas
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Effect of mesonic off-shell correlations in the PNJL equation of state
• Anisotropy of magnetized quark matter
• Quark scattering off quarks and hadrons
• Interplay between chiral and axial symmetries in a SU(2) Nambu--Jona-Lasinio Model with the Polyakov loop
• Chiral condensate and Mott-Anderson freeze-out
• Polyakov linear-sigma model in mean-field approximation and optimized perturbation theory
• Vector and axial vector mesons in a nonlocal chiral quark model
• Effects of composite pions on the chiral condensate within the PNJL model at finite temperature
• A PNJL model in 0+1 Dimensions
• Chiral symmetry restoration and properties of Goldstone bosons at finite temperature
• Finite temperature properties of a modified Polyakov$-$Nambu$-$Jona-Lasinio model
• Mean free path of photons in relativistic heavy ion collisions
• Degeneracy patterns of chiral companions at finite temperature
• One-meson-loop NJL model: Effect of collective and noncollective excitations on the quark condensate at finite temperature
• Color superconductivity in the Nambu Jona-Lasinio model complemented by a Polyakov loop
• Pseudo-scalar {\boldm $q\bar{q}$} bound states at finite temperatures within a Dyson-Schwinger--Bethe-Salpeter approach
• Chiral and deconfinement transitions in spin-polarized quark matter
• Practical approach to the sign problem at finite theta-vacuum angle
• The mass and spectral function of scalar and pseudoscalar mesons in a hot and chirally imbalanced medium using the two-flavor NJL model
• QCD phase diagram and charge fluctuations
• Transport Theory from the Nambu-Jona-Lasinio Lagrangian
• Multiplicity, probabilities, and canonical sectors for the cold QCD matter
• A practical solution to the sign problem at finite theta-vacuum angle
• Generalized Nambu-Goldstone pion in dense matter: a schematic NJL model
• Isentropic thermodynamics and scalar-mesons properties near the QCD critical end point
• Using the Beth-Uhlenbeck approach to describe the kaon to pion ratio in a 2+1 flavor PNJL model
• Entropy in the quark-hadron transition
• Pion and kaon in the Beth-Uhlenbeck approach
• Phase diagram and pion modes of the neutral Nambu-Jona Lasinio model with the Polyakov loop
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops
• Debye mass and heavy quark potential in a PNJL quark plasma
• 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
• Extrapolation for meson screening masses from imaginary to real chemical potential
• Finite size effect on Dissociation and Diffusion of chiral partners in Nambu-Jona-Lasinio model
• Late-Time Cosmic Acceleration from QCD Confinement Dynamics
• Mesons and diquarks in a color superconducting regime
• Linear Sigma Model at Finite Temperature and Baryonic Chemical Potential Using the Midpoint Technique
• Baryons in the Nambu Jona-Lasinio models
• Susceptibilities and the Phase Structure of an Effective Chiral Model with Polyakov Loops
• Pseudoscalar mesons from a PNJL model at zero temperature