Phase Transition in the chiral $\sigma$-$\omega$ model with dilatons

Abstract

We investigate the properties of different modifications to the linear $\sigma$-model (including a dilaton field associated with broken scale invariance) at finite baryon density $\rho$ and nonzero temperature $T$. The explicit breaking of chiral symmetry and the way the vector meson mass is generated are significant for the appearance of a phase of nearly vanishing nucleon mass besides the solution describing normal nuclear matter. The elimination of the abnormal solution prohibits the onset of a chiral phase transition but allows to lower the compressibility to a reasonable range. The repulsive contributions from the vector mesons are responsible for the wide range of stability of the normal phase in the $(\mu ,T)$-plane. The abnormal solution becomes not only energetically preferable to the normal state at high temperature or density, but also mechanically stable due to the inclusion of dilatons.

21 pages, RevTeX

References in corpus (2)

• Effective Field Theories
• Hot nuclear matter with dilatons

Cited by in corpus (28)

• Nuclei in a chiral SU(3) model
• Chiral Lagrangian for strange hadronic matter
• Cold, dense nuclear matter in a SU(2) parity doublet model
• Equation of state for hot QCD and compact stars from a mean field approach
• An effective model for the QCD phase transitions at finite baryon density
• A little inflation at the cosmological QCD phase transition
• Possible Cosmological Implications of the Quark-Hadron Phase Transition
• Deformed Nuclei in a Chiral Model
• First-order chiral phase transition may naturally lead to the ``quenched'' initial condition and strong soft-pion fields
• Phase Transition in Warm Nuclear Matter with Alternative Derivative Coupling Models
• Hot Nuclear Matter in Asymmetry Chiral Sigma Model
• Nuclei, Superheavy Nuclei and Hypermatter in a chiral SU(3)-Modell
• New treatment of the chiral SU(3) quark mean field model
• An Effective Lagrangian with Broken Scale and Chiral Symmetry IV: Nucleons and Mesons at Finite Temperature
• Constraints on nuclear matter parameters of an Effective Chiral Model
• Metastable quark-antiquark droplets within the Nambu-Jona-Lasinio model
• Bulk viscosity in hyperonic star and r-mode instability
• Repulsive properties of hadrons in lattice QCD data and neutron stars
• A chiral symmetric relativistic mean field model with logarithmic sigma potential
• Nuclear symmetry energy with mesonic cross-couplings in the effective chiral model
• Phase Structure in a Hadronic Chiral Model
• Relativistic transport theory of N, Δand N^{*}(1440) interacting through $\sigma$, $\omega$ and $\pi$ mesons
• Chiral symmetry restoration in strange hadronic matter
• Neutron stars in the large-$N_c$ limit
• Effective meson masses, effective meson-nucleon couplings and neutron star radii
• Nuclear Matter and Finite Nuclei in the Effective Chiral Model
• A model with two periods of inflation
• Deconfinement, naturalness and the nuclear-quark equation of state