Color Superfluidity and Chiral Symmetry Breakdown in Dense QCD Matter

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.