In the high density, low temperature limit, Quantum Chromodynamics exhibits a
transition to phases characterized by color superconductivity and energy gaps
in the fermion spectra. We review some fundamental results obtained in this
area and in particular we describe the low energy effective lagrangian
describing the motion of the quasi-particles in the high density medium (High
Density Effective Theory).Comment: 17 pages, Invited review talk at Workshop on Quark Gluon Plasma and
Relativistic Heavy Ions, Frascati, Italy, 14-18 Jan 200