  We investigate the Fermi Liquid theory of high density QCD. Using the
renormalization group (RG), we determine the behavior of effective fermion
interactions near the Fermi surface. At sufficiently high densities the
matching between the Fermi Liquid theory and QCD can be accomplished in
perturbation theory and a reliable calculation of Cooper pair formation
performed, modulo the existence of a magnetic screening mass for the gluon. The
presence of a chemical potential leads to different RG flows for sub-components
of the effective interactions which would ordinarily be linked by Lorentz
invariance. We also study instanton-induced operators and find that near the
Fermi surface they are likely to be subdominant relative to operators induced
by perturbative gluon exchange. We discuss the implications of our results for
the phase structure of QCD at finite baryon density and temperature.
