Baryon Density and the Dilated Chiral Quark Model

Abstract

We calculate perturbatively the effect of density on hadronic properties using the chiral quark model implemented by the QCD trace anomaly to see the possibility of constructing Lorentz invariant Lagrangian at finite density. We calculate the density dependent masses of the constituent quark, the scalar field and the pion in one-loop order using the technique of thermo field dynamics. In the chiral limit, the pion remains massless at finite density. It is found that the tadpole type corrections lead to the decreasing masses with increasing baryon density, while the radiative corrections induce Lorentz-symmetry-breaking terms. We found in the large $N_c$ limit with large scalar mass that the tadpoles dominate and the mean-field approximation is reliable, giving rise a Lorentz-invariant Lagrangian with masses decreasing as the baryon density increases.

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References in corpus (4)

• Chiral Restoration in Hot and/or Dense Matter
• Vacuum Contributions in a Chiral Effective Lagrangian for Nuclei
• The Dilated Chiral Quark Model
• Finite-Temperature Corrections in the Dilated Chiral Quark Model

Cited by in corpus (4)

• A Precursor of Chiral Symmetry Restoration in the Nuclear Medium
• Dense Nuclear Matter: Landau Fermi-Liquid Theory and Chiral Lagrangian with Scaling
• Two photons decay of the glueball and scalar isoscalar mesons in a scaled NJL model
• Renormalization Group Analysis of ρ-Meson Properties at Finite Density