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 √ s NN = 9 ∼ 15 GeV.

Baryon number fluctuations in the QCD phase diagram from Dyson-Schwinger equations

“…[22,23] for review articles. This notion is supported by results from Dyson-Schwinger equations [24][25][26][27][28], see Ref. [29] for a recent review.…”

QCD phase structure at finite temperature and density

“…In this section we discuss the correlation functions presented in (39), and derive their flow equations. This includes the propagators of all fields and the respective anomalous dimensions (Section IV A), the strong couplings related to pure glue, ghost-gluon and quark-gluon vertices (Sections IV B 2, IV B 1), the four-quark scattering and the Yukawa coupling between pions, σ and the quarks due to dynamical hadronisation (Section IV C), and the flow of the effective potential (Section IV D).…”

“…[25][26][27][28][29][30][31][32][33][34], and Dyson-Schwinger equations (DSE), see e.g. [7,[35][36][37][38][39] have made significant progress in the description of the QCD phase structure, for lattice simulations, see e.g. [40][41][42][43][44][45][46][47][48][49][50][51].…”

A Study of the Properties of the QCD Phase Diagram in High-Energy Nuclear Collisions

“…This is the characteristic experimental signature of the critical point we are looking for in the heavy-ion collision experiment. Theoretically, the properties of QCD phase diagram at finite baryon density and the signatures of conserved charge fluctuations near the QCD critical point have been extensively studied by various model calculations, such as Lattice QCD [10,[18][19][20][21][22]98], NJL, PNJL model [99][100][101][102][103][104][105][106], PQM, FRG model [107][108][109], Dyson-Schwinger Equation (DSE) method [110][111][112][113], chiral hydrodynamics [114] and other effective models [94, [115][116][117][118][119]. However, one should keep in mind that the above results are under the assumption of thermal equilibrium with infinite and static medium.…”