The QCD phase diagram from Schwinger-Dyson Equations

Abstract

We study the phase diagram of quantum chromodynamics (QCD). For this purpose we employ the Schwinger-Dyson equations (SDEs) technique and construct a truncation of the infinite tower of equations by demanding a matching with the lattice results for the quark-anti-quark condensate at finite temperature (T), for zero quark chemical potential (mu), that is, the region where lattice calculations are expected to provide reliable results. We compute the evolution of the phase diagram away from T=0 for increasing values of the chemical potential by following the evolution of the heat capacity as a function of T and mu. The behavior of this thermodynamic variable clearly demonstrates the existence of a cross-over for mu less than a critical value. However, the heat capacity develops a singularity near mu approx 0.22 GeV marking the onslaught of a first order phase transition characterized by the existence of a critical point. The critical line continues until mu approx 0.53 GeV where Tc=0 and thus chiral symmetry is finally restored.

References in corpus (16)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The Phase Structure of the Polyakov--Quark-Meson Model
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• Phase diagram and critical endpoint for strongly-interacting quarks
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• 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
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Finite density QCD with a canonical approach
• Thermodynamics and critical behavior in the Nambu-Jona-Lasinio model of QCD
• Building the Full Fermion-Photon Vertex of QED by Imposing Multiplicative Renormalizability of the Schwinger-Dyson Equations for the Fermion and Photon Propagators
• Chiral phase transition in the presence of spinodal decomposition
• Influence of the isospin and hypercharge chemical potentials on the location of the CEP in the mu_B-T phase diagram of the SU(3)_L x SU(3)_R chiral quark model
• The nNJL model with a fractional Lorentzian regulator in the real time formalism
• Making the most of Taylor expansion and imaginary chemical potential
• The phase diagram of N_f=2 and N_f=2+1 QCD from quark and gluon propagators

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