An Effective Lagrangian with Broken Scale and Chiral Symmetry III: Mesons at Finite Temperature

Abstract

We investigate the finite temperature behavior of the meson sector of an effective Lagrangian which describes nuclear matter. A method is developed for evaluating the logarithmic terms in the effective potential which involves expansion and resummation; the result is written in terms of the exponential integral. In the absence of explicit chiral symmetry breaking, a phase transition restores the symmetry at a temperature of 190 MeV; when the pion has a mass the transition is smooth. At a much higher temperature a first order phase transition restores scale symmetry.

20 pages latex plus 8 postscript figures

Cited by in corpus (24)

• Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
• Critical Points in the Linear Sigma Model with Quarks
• Cold, dense nuclear matter in a SU(2) parity doublet model
• Role of Fluctuations in the Linear Sigma Model with Quarks
• Softening of the equation of state of matter at large densities and temperatures: chiral symmetry restoration vs. quark deconfinement
• Multiple Critical Points in Effective Quark Models
• Neutron stars within the SU(2) parity doublet model
• The Quenching of the Axial Coupling in Nuclear and Neutron-Star Matter
• Nucleating quark droplets in the core of magnetars
• An Effective Model for Hot Gluodynamics
• A chiral lagrangian with Broken Scale: testing the restoration of symmetries in astrophysics and in the laboratory
• An Effective Lagrangian with Broken Scale and Chiral Symmetry IV: Nucleons and Mesons at Finite Temperature
• Evaporation of the gluon condensate: a model for pure gauge SU(3)_c phase transition
• Effects of Renormalizing the chiral SU(2) Quark-Meson-Model
• Hadronic transport coefficients from the linear sigma model at finite temperature
• Critical Points in the QCD Phase Diagram with Two Flavors of Quarks
• The half-skyrmion phase in a chiral-quark model
• Effects from inhomogeneities in the chiral transition
• A chiral quark-soliton model with broken scale invariance for nuclear matter
• Two photons decay of the glueball and scalar isoscalar mesons in a scaled NJL model
• The nucleus as a fluid of skyrmions: Energy levels and nucleon properties in the medium
• Cosmology from Strong Interactions
• The soliton-soliton interaction in the Chiral Dilaton Model
• A hybrid-chiral soliton model with broken scale invariance for nuclear matter