The phase structure of a chiral model with dilatons in hot and dense matter

Abstract

We explore the phase structure of a chiral model of constituent quarks and gluons implementing scale symmetry breaking at finite temperature and chemical potential. In this model the chiral dynamics is intimately linked to the trace anomaly saturated by a dilaton field. The thermodynamics is governed by two condensates, thermal expectation values of sigma and dilaton fields, which are the order parameters responsible for the phase transitions associated with the chiral and scale symmetries. Within the mean field approximation, we find that increasing temperature a system experiences a chiral phase transition and then a first-order phase transition of partial scale symmetry restoration characterized by a melting gluon-condensate takes place at a higher temperature. There exists a region at finite chemical potential where the scale symmetry remains dynamically broken while the chiral symmetry is restored. We also give a brief discussion on the sigma-meson mass constrained from Lattice QCD.

6 pages, 5 figures; v2) new figures and references added

References in corpus (10)

• The QCD equation of state with dynamical quarks
• The Phase Structure of the Polyakov--Quark-Meson Model
• The QCD phase diagram at nonzero quark density
• Lattice QCD at the physical point: light quark masses
• Cold, dense nuclear matter in a SU(2) parity doublet model
• Lattice QCD Calculation for the Physical Equation of State
• How Wide is the Transition to Deconfinement?
• Conformal anomaly and the vector coupling in dense matter
• Role of the tetraquark in the chiral phase transition
• Dynamical Locking of the Chiral and the Deconfinement Phase Transition in QCD

Cited by in corpus (14)

• Dynamical net-proton fluctuations near a QCD critical point
• Chiral fluid dynamics with explicit propagation of the Polyakov loop
• An effective model for the QCD phase transitions at finite baryon density
• An effective gluon potential and hybrid approach to Yang-Mills thermodynamics
• The application of the Quark-Hadron Chiral Parity-Doublet Model to neutron star matter
• Net-baryon number variance and kurtosis within nonequilibrium chiral fluid dynamics
• Dynamical exploring the QCD matter at finite temperatures and densities-a short review
• Broadening of the chiral critical region in a hydrodynamically expanding medium
• Phenomena at the QCD phase transition in nonequilibrium chiral fluid dynamics (N$\chi$FD)
• Glueballs and vector mesons at NICA
• Hydrodynamics of a quark droplet II: Implications of a non-zero baryon chemical potential
• Photon emissivity in the vicinity of a critical point - A case study within the quark meson model
• Suppression of the repulsive force in nuclear interactions near the chiral phase transition
• Chiral Symmetry Breaking, Trace Anomaly and Baryons in Hot and Dense Matter