We discuss QCD with two light flavors at large baryon chemical potential A.
Color superconductivity leads to partial breaking of the color SU(3) group
. We show that the infrared physics is governed by the gluodynamics of the
remaining SU(2) group with an exponentially soft confinement scale Lambda'(
QCD) similar to Delta exp[- a mu/(g Delta)], where Delta << mu is the super
conducting gap, g is the strong coupling, and a = 2 root2 pi /11. We estima
te that, at moderate baryon densities, Lambda'(QCD) is O(10 MeV) or smaller
. The confinement radius increases exponentially with density, leading to "
asymptotic deconfinement." The velocity of the SU(2) gluons is small due to
the large dielectric constant of the medium.