  We describe the interplay of two nonperturbative phenomena which should take
place in the chirally invariant deconfined phase of QCD matter at finite
density and T=0: (i) Cooper-pair quark-quark ground-state condensation in
appropriate channels should yield exotic sorts of color superfluidity, and (ii)
quark-antiquark ground-state condensation should yield spontaneous breakdown of
chiral symmetry. We briefly review the main recent achievements in the subject,
and present the field-theory formalism which enables to deal with both above
mentioned types of condensates simultaneously.
