  We review efforts to study, using the methods of lattice field theory, the
phenomenon of diquark condensation via BCS pairing at a Fermi surface, which
has been proposed as a mechanism for color superconductivity in dense quark
matter. The particular models studied are the Gross-Neveu model and SU(2)
lattice gauge theory; in both cases evidence for superfluidity at high density
is presented. The behaviour expected for quarks in both fundamental and adjoint
representations of SU(2) is contrasted.
