Chiral soliton model at finite temperature and density

Abstract

In mean field approximation, we study a chiral soliton of the linear sigma model with two flavors at finite temperature and density. The stable soliton solutions are calculated with some appropriate boundary conditions. Energy and radius of the soliton are determined in a hot medium of constituent quarks. It is found that for $T<T_c$, the energy of the soliton $E^{\ast }$ is less than the energy of three constituent quarks $3M_q$, but with the increasing of temperature, the difference between $E^{\ast }$ and $3M_q$ becomes smaller and smaller, once $T>T_c$, there is a sharp delocalization phase transition from hadron matter to quark matter coincident with the restoration of chiral symmetry. In the transition region, the thermodynamic properties show large discontinuities which is an indication for a first-order phase transition.

14 pages, 7 figures, version accepted for publication in Physical Review C

References in corpus (7)

• The Phase Structure of the Polyakov--Quark-Meson Model
• The QCD equation of state from the lattice
• QCD Thermodynamics from the Lattice
• Vector interaction strength in Polyakov-Nambu-Jona-Lasinio models from hadron-quark phase diagrams
• Soliton solutions of the improved quark mass density-dependent model at finite temperature
• The Friedberg-Lee model at finite temperature and density
• Modification of nucleon properties in nuclear matter and finite nuclei

Cited by in corpus (9)

• Nontopological Soliton in the Polyakov Quark Meson Model
• Bubble dynamics in a strong first-order quark-hadron transition
• Nucleon Properties in the Polyakov Quark Meson Model
• Nucleon Properties in the Quantized Linear Sigma Model at Finite Temperature and Chemical Potential
• Bubble nucleation in the two-flavor quark-meson model
• The baryon mass calculation in the chiral soliton model at finite temperature and density
• Studying the baryon properties through chiral soliton model at finite temperature and denstity
• The nucleon properties in finite temperature and density with Gaussian fluctuations
• Mean-field approximation for the chiral soliton in a chiral phase transition