  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.
