  We investigate the possible ground states of QCD at asymptotic densities,
where the theory is expected to exhibit color superconductivity. We
characterize the color-flavor structure of possible diquark condensates, and
find those that are energy extrema by solving the weak-coupling Dyson-Schwinger
equations, including Landau damping and the Meissner effect. We show that, as
previously anticipated, in the two flavor case the vacuum breaks SU(3) color to
SU(2) and in the three flavor case the vacua with color-flavor locking (CFL)
have the lowest energy. We identify a number of relatively flat directions in
the potential along which the pattern of gauge symmetry breaking changes and
parity is violated. We discuss possible phenomenological consequences of our
results.
