Chiral symmetry, scale invariance and properties of nuclear matter

Abstract

We construct an effective meson-nucleon lagrangian obeying the QCD requirements of chiral symmetry, scale invariance and trace anomaly. It takes the form of the scaled sigma model supplemented by the gauged vector field and dilation (glueball) field. The lagrangian is applied for describing the properties of isosymmetric nuclear matter in the mean-field approximation. By reasonable choice of model parameters we are able to reproduce the equilibrium density and binding energy of normal nuclear matter but the compressibility modulus comes out unrealistically large. The chiral-symmetry restoration is predicted by the model at sufficiently high baryon density.