  We argue that in quark matter at high densities, the color magnetic field
remains unscreened and leads to the phenomenon of color superconductivity.
Using the renormalization group near the Fermi surface, we find that the
long-range nature of the magnetic interaction changes the asymptotic behavior
of the gap $\Delta$ at large chemical potential $\mu$ qualitatively. We find
$\Delta\sim\mu g^{-5}\exp(-{3\pi^2\over\sqrt{2}}{1\over g})$, where $g$ is the
small gauge coupling. We discuss the possibility of breaking rotational
symmetry by the formation of a condensate with nonzero angular momentum, as
well as interesting parallels to some condensed matter systems with long-range
forces.
