Quark Number Fluctuations at Finite Temperature and Finite Chemical Potential via the Dyson-Schwinger Equation Approach

Abstract

We investigate the quark number fluctuations up to the fourth order in the matter composed of two light flavor quarks with isospin symmetry and at finite temperature and finite chemical potential using the Dyson-Schwinger equation approach of QCD. In order to solve the quark gap equation, we approximate the dressed quark-gluon vertex with the bare one and adopt both the Marris-Tandy (MT) model and the infrared constant (Qin-Chang) model for the dressed gluon propagator. Our results indicate that the second, third, and forth order fluctuations of net quark number all diverge at the critical end point (CEP). Around the CEP, the second order fluctuation possesses obvious pump while the third and fourth order ones exhibit distinct wiggles between positive and negative. For the MT model and the Qin-Chang model, we give the pseudo-critical temperature at zero quark chemical potential as $T_c=146$ MeV and $150$ MeV, and locate the CEP at $({\mu }_E^q,T_E^{})=(120,124)$ MeV and $(124,129)$ MeV, respectively. In addition, our results manifest that the fluctuations are insensitive to the details of the model, but the location of the CEP shifts to low chemical potential and high temperature as the confinement length scale increases.

arXiv comment10 pages, 6 figures

References in corpus (113)

• Dyson-Schwinger Equations and the Application to Hadronic Physics
• The chiral and deconfinement aspects of the QCD transition
• Signatures of the Tricritical Point in QCD
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• The phase diagram of dense QCD
• The QCD transition temperature: results with physical masses in the continuum limit
• Event-by-Event Fluctuations in Heavy Ion Collisions and the QCD Critical Point
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Hadron production in central nucleus-nucleus collisions at chemical freeze-out
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• Phases of Dense Quarks at Large N_c
• Lattice determination of the critical point of QCD at finite T and μ
• Non-Gaussian fluctuations near the QCD critical point
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Dyson-Schwinger equations: a tool for hadron physics
• QCD Equation of State and Hadron Resonance Gas
• pi- and K-meson Bethe-Salpeter Amplitudes
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Infrared Properties of QCD from Dyson-Schwinger equations
• Thermodynamics of Two Flavor QCD to Sixth Order in Quark Chemical Potential
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Why does the Quark-Gluon Plasma at RHIC behave as a nearly ideal fluid ?
• On the sign of kurtosis near the QCD critical point
• Fluctuations of conserved charges at finite temperature from lattice QCD
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• Chemical and Thermal Freeze-Out Parameters from 1 to 200 A.GeV
• Higher Moments of Net-proton Multiplicity Distributions at RHIC
• Fluctuations and Correlations of net baryon number, electric charge, and strangeness: A comparison of lattice QCD results with the hadron resonance gas model
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Slowing Out of Equilibrium Near the QCD Critical Point
• Explanation and Prediction of Observables using Continuum Strong QCD
• Scale for the Phase Diagram of Quantum Chromodynamics
• Hadronic fluctuations at the QCD phase transition
• Imaging dynamical chiral symmetry breaking: pion wave function on the light front
• Baryon Number, Strangeness and Electric Charge Fluctuations in QCD at High Temperature
• Baryon-strangeness correlations: a diagnostic of strongly interacting matter
• QCD at finite chemical potential with six time slices
• Sketching the Bethe-Salpeter kernel
• The critical end point of QCD
• Third moments of conserved charges as probes of QCD phase structure
• QCD Thermodynamics with Three Flavors of Improved Staggered Quarks
• The QCD phase diagram at nonzero quark density
• Interaction model for the gap equation
• Phase diagram and critical endpoint for strongly-interacting quarks
• Pion electromagnetic form factor at spacelike momenta
• Thermodynamics of (2+1)-flavor QCD: Confronting Models with Lattice Studies
• Dressed-quark anomalous magnetic moments
• Quark flavour effects on gluon and ghost propagators
• Nucleon mass from a covariant three-quark Faddeev equation
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Modeling the Gluon Propagator in Landau Gauge: Lattice Estimates of Pole Masses and Dimension-Two Condensates
• Analytic structure of the Landau gauge gluon propagator
• The lattice Landau gauge gluon propagator: lattice spacing and volume dependence
• The renormalization group and quark number fluctuations in the Polyakov loop extended quark-meson model at finite baryon density
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• Survey of nucleon electromagnetic form factors
• On unifying the description of meson and baryon properties
• Commentary on rainbow-ladder truncation for excited states and exotics
• QCD critical region and higher moments for three flavor models
• Dynamics and thermodynamics of a nonlocal Polyakov--Nambu--Jona-Lasinio model with running coupling
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Chiral and deconfinement phase transitions of two-flavour QCD at finite temperature and chemical potential
• Tracing masses of ground-state light-quark mesons
• Deconfinement phase transition and the quark condensate
• Running Gluon Mass from Landau Gauge Lattice QCD Propagator
• Chiral and deconfinement transition from Dyson-Schwinger equations
• Chiral transition in a finite system and possible use of finite size scaling in relativistic heavy ion collisions
• Thermodynamic properties of a simple, confining model
• Dynamical chiral symmetry breaking and the fermion--gauge-boson vertex
• Practical corollaries of transverse Ward-Green-Takahashi identities
• Unquenching the gluon propagator with Schwinger-Dyson equations
• Thermal Conductivity and Chiral Critical Point in Heavy Ion Collisions
• Thermodynamics of a three-flavor nonlocal Polyakov--Nambu--Jona-Lasinio model
• Nucleon axial and pseudoscalar form factors from the covariant Faddeev equation
• Dynamical chiral symmetry breaking and confinement with an infrared-vanishing gluon propagator?
• Ward-Green-Takahashi identities and the axial-vector vertex
• Nonlocal Polyakov-Nambu-Jona-Lasinio model with wavefunction renormalization at finite temperature and chemical potential
• Nucleon spin structure at very high-x
• Pion distribution amplitude from lattice-QCD
• STAR Results from the RHIC Beam Energy Scan-I
• Nontrivial ghost-gluon vertex and the match of RGZ, DSE and lattice Yang-Mills propagators
• Critical point of $N_f=3$ QCD from lattice simulations in the canonical ensemble
• Quark Spectral Function and Deconfinement at Nonzero Temperature
• Fluctuations and Correlations of Conserved Charges in QCD at Finite Temperature with Effective Models
• Baryon and meson screening masses
• Quark spectral density and a strongly-coupled QGP
• Facets of confinement and dynamical chiral symmetry breaking
• Finite density phase transition of QCD with $N_f=4$ and $N_f=2$ using canonical ensemble method
• Quark propagator at finite temperature and finite momentum in quenched lattice QCD
• Including the Fermion Vacuum Fluctuations in the $(2+1)$ flavor Polyakov Quark Meson Model
• Finite-size scaling as a tool in the search for the QCD critical point in heavy ion data
• Quark spectral properties above Tc from Dyson-Schwinger equations
• QCD thermodynamics with 2+1 flavors at nonzero chemical potential
• Kurtosis and compressibility near the chiral phase transition
• Fluctuations and Correlations of Conserved Charges near the QCD Critical Point
• Susceptibilities with multi-quark interactions in PNJL model
• Transverse Ward-Takahashi Identity, Anomaly and Schwinger-Dyson Equation
• Correlation between conserved charges in PNJL Model with multi-quark interactions
• Dressed-quarks and the nucleon's axial charge
• Quark number susceptibility around the critical end point
• Search for the QCD Critical Point: Higher Moments of Net-proton Multiplicity Distributions
• Some exact properties of the gluon propagator
• Fluctuations and Correlations of Conserved Charges in the $(2+1)$ Polyakov Quark Meson Model
• Zero mode in a strongly coupled quark gluon plasma
• Has Tc been measured by heavy ion experiments?
• Searching for the QCD Critical Point Using Particle Ratio Fluctuations and Higher Moments of Multiplicity Distributions
• Selected Experimental Results from Heavy Ion Collisions at LHC
• The equation of state of QCD at finite chemical potential
• Higher Moments of Net-Baryon Distribution as Probes of QCD Critical Point
• Testing the OPE Wilson coefficient for $A^2$ from lattice QCD with a dynamical charm
• A model study of quark number susceptibility at finite temperature beyond rainbow-ladder approximation
• Baryon number, strangeness and electric charge fluctuations at zero and non-zero chemical potential

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• Constraining the Hadron-Quark Phase Transition Chemical Potential via Astronomical Observation
• Chemical Freeze-out Parameters via a Non-perturbative QCD Approach
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