  We propose an effective chiral Lagrangian with a chiral scalar introduced as
a dilaton associated with broken conformal symmetry and responsible for the
trace anomaly in QCD and discuss the properties of hadronic matter at high
density and temperature. As the "dilaton limit" is taken, which drives a system
from nuclear matter density to near chiral restoration density, a linear sigma
model emerges from the highly non-linear structure. A striking prediction is
that as the dilaton limit is approached, the omega-nucleon interaction gets
strongly suppressed at high density. This is shown to be a firm statement at
the quantum level protected by an infrared fixed point of the renormalization
group equations derived in chiral perturbation theory.
