  The phase structure of hadronic matter at high density relevant to the
physics of compact stars and relativistic heavy-ion collisions is studied in a
low-energy effective quark theory. The relevant phases that figure are (1)
chiral condensation, (2) diquark color condensation (color superconductivity)
and (3) induced Lorentz-symmetry breaking (ISB). For reasonable strengths for
four-Fermi interactions implied by one-gluon exchange quark interactions as
well as instanton-mediated interactions, we find that the ISB phase sets in at
a moderate density while the quark condensate vanishes, followed by color
superconductivity associated with scalar diquark condensation appearing only at
an asymptotic density. Lack of confinement in the model makes the result of
this analysis only qualitative but the hierarchy of the transitions we find
seems to be quite robust.
