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.

10 pages, 6 figures

References in corpus (27)

• The QCD transition temperature: results with physical masses in the continuum limit
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Infrared Properties of QCD from Dyson-Schwinger equations
• Scale for the Phase Diagram of Quantum Chromodynamics
• QCD at finite chemical potential with six time slices
• Sketching the Bethe-Salpeter kernel
• The QCD phase diagram at nonzero quark density
• Phase diagram and critical endpoint for strongly-interacting quarks
• Dressed-quark anomalous magnetic moments
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• 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
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Chiral and deconfinement transition from Dyson-Schwinger equations
• Thermal Conductivity and Chiral Critical Point in Heavy Ion Collisions
• Quark spectral density and a strongly-coupled QGP
• Finite density phase transition of QCD with $N_f=4$ and $N_f=2$ using canonical ensemble method
• Quark spectral properties above Tc from Dyson-Schwinger equations
• Finite-size scaling as a tool in the search for the QCD critical point in heavy ion data
• 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
• The equation of state of QCD at finite chemical potential
• Higher Moments of Net-Baryon Distribution as Probes of QCD Critical Point
• 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

Cited by in corpus (30)

• Critical point in the phase diagram of primordial quark-gluon matter from black hole physics
• Hyper-order baryon number fluctuations at finite temperature and density
• QCD at finite temperature and density within the fRG approach: An overview
• QCD phase transitions via a refined truncation of Dyson-Schwinger equations
• Probing QCD critical point and induced gravitational wave by black hole physics
• Fully-heavy tetraquarks in strongly interacting medium
• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Search for the QCD Critical Point in High Energy Nuclear Collisions
• Two Photon Transition Form Factor of $\bar{c}c$ Quarkonia
• Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field
• Dense two-color QCD from Dyson-Schwinger equations
• Holographic study of higher-order baryon number susceptibilities at finite temperature and density
• Centrality selection effect on higher-order cumulants of net-proton multiplicity distributions in relativistic heavy-ion collisions
• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
• Fluctuating temperature and baryon chemical potential in heavy-ion collisions and the position of the critical end point in the effective QCD phase diagram
• Heavy-light mesons beyond ladder approximation
• Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
• Enhanced yield ratio of light nuclei in heavy ion collisions with a first-order QCD phase transition
• 3-dimensional QCD phase diagram with pion condensate in the NJL model
• Revisiting holographic model for thermal and dense QCD with a critical point
• Chiral symmetry restoration and properties of Goldstone bosons at finite temperature
• The QCD critical point from the Nambu-Jona-Lasino model with a scalar-vector interaction
• Effects of centrality fluctuation and deuteron formation on proton number cumulant in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 3 GeV from JAM model
• Centrality determination with a forward detector in the RHIC Beam Energy Scan
• Holographic entanglement properties in the QCD phase diagram from EMD models
• Isospin effect on quark matter instabilities
• Elliptic flow splittings in the Polyakov-looped Nambu-Jona Lasinio transport model
• Chemical Freeze-out Parameters via a Non-perturbative QCD Approach
• The effect of charm quark on the QCD chiral phase diagram