  We study fermionic quasi-particles in QCD at very high baryon density. In the
normal quark matter phase unscreened magnetic gluon exchanges lead to non-Fermi
liquid behavior. Non-Fermi liquid effects manifest themselves in low energy
Green functions that depend on logarithms and fractional powers of energy. In
the superfluid phase there is an energy gap for fermionic excitations. Quark
mass effects can cause the energy gap to vanish. Gapless fermions in the color
flavor locked phase cause an instability towards a state with a non-zero
supercurrent.
