Study of quark matter in the chiral colour dielectric model

Abstract

The non-linear chiral extension of the colour dielectric model has been used to study the properties for quark matter. Assuming that the square of the pion field develops non-zero vacuum expectation value, the thermodynamic potential for interacting two-flavour quark matter has been calculated up to second order in interaction terms of the Lagrangian. The values of the colour dielectric field and ( pi 2) in quark matter are obtained by solving mean field equations. It is found that, because of non-zero ( pi 2) the quark mass decreases monotonically as the temperature and density of the quark matter are increased. The calculated transition temperature and density for deconfinement transition have been found to be smaller than the lattice-QCD results. The behaviour of pressure and energy density of the quark matter calculated is qualitatively similar to that obtained in lattice-QCD calculations.