QCD phase transitions via a refined truncation of Dyson-Schwinger equations

Abstract

We investigate both the chiral and deconfinement phase transitions of QCD matter in a refined scheme of Dyson-Schwinger equations, which have been shown to be successful in giving the meson mass spectrum and matching the interaction with the results from ab initio computation. We verify the equivalence of the chiral susceptibility criterion with different definitions for the susceptibility and confirm that the chiral susceptibility criterion is efficient to fix not only the chiral phase boundary but also the critical end point (CEP), especially when one could not have the effective thermodynamical potential. We propose a generalized Schwinger function criterion for the confinement. We give the phase diagram of both phase transitions and show that in the refined scheme the position of the CEP shifts to lower chemical potential and higher temperature. Based on our calculation and previous results of the chemical freeze out conditions, we propose that the CEP locates in the states of the matter generated by the Au--Au collisions with $\sqrt{s_{NN}^{}}=9\sim 15$ GeV.

12 pages, 6 figures, 1 table

References in corpus (49)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The QCD transition temperature: results with physical masses in the continuum limit
• The Phase Structure of the Polyakov--Quark-Meson Model
• Infrared Properties of QCD from Dyson-Schwinger equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Chiral symmetry breaking in continuum QCD
• QCD at finite chemical potential with six time slices
• The phase boundary for the chiral transition in (2+1)-flavor QCD at small values of the chemical potential
• The QCD phase diagram at nonzero quark density
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• Susceptibilities and speed of sound from PNJL model
• Phase structure of three and four flavor QCD
• 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
• Freeze-out parameters from electric charge and baryon number fluctuations: is there consistency?
• Propagators and phase structure of Nf=2 and Nf=2+1 QCD
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• Finite density QCD with a canonical approach
• Direct determination of the strange and light quark condensates from full lattice QCD
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• Observation of the critical end point in the phase diagram for hot and dense nuclear matter
• The lattice QCD phase diagram in and away from the strong coupling limit
• Chiral and deconfinement transition from Dyson-Schwinger equations
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• Spectra of heavy quarkonia in a Bethe-Salpeter-equation approach
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Regarding confinement and dynamical chiral symmetry breaking in QED3
• Building the Full Fermion-Photon Vertex of QED by Imposing Multiplicative Renormalizability of the Schwinger-Dyson Equations for the Fermion and Photon Propagators
• Gauge invariance of a critical number of flavours in QED3
• The chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations
• Chiral phase transition in the presence of spinodal decomposition
• On the critical line of 2+1 flavor QCD
• Quark Number Fluctuations at Finite Temperature and Finite Chemical Potential via the Dyson-Schwinger Equation Approach
• Towards finite density QCD with Taylor expansions
• Quark spectral density and a strongly-coupled QGP
• Quark spectral properties above Tc from Dyson-Schwinger equations
• Chemical potential and the gap equation
• QCD phase diagram at finite baryon and isospin chemical potentials
• Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD
• A covariant study of tensor mesons
• Masses of J^PC =1^-+ exotic quarkonia in a Bethe-Salpeter-equation approach
• Dyson-Schwinger Equation and Quantum Phase Transitions in Massless QCD
• Transverse Symmetry Transformations and the Quark-Gluon Vertex Function in QCD
• The equation of state of QCD at finite chemical potential
• Locating the critical end point of QCD
• Baryon number, strangeness and electric charge fluctuations at zero and non-zero chemical potential

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• Interface Effect in QCD Phase Transitions via Dyson-Schwinger Equation Approach
• Two Photon Transition Form Factor of $\bar{c}c$ Quarkonia
• Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field
• Phase structure of 2+1-flavour QCD and the magnetic equation of state
• Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
• Revisiting the Equation of State of Hybrid Stars in the Dyson-Schwinger Equation Approach to QCD
• Flavor dependence of the thermal dissociations of vector and axial-vector mesons
• Application of radial basis functions neutral networks in spectral functions