  QCD at high chemical potential has interesting properties such as
deconfinement of quarks. Two-color QCD, which enables numerical simulations on
the lattice, constitutes a laboratory to study QCD at high chemical potential.
Among the interesting properties of two-color QCD at high density is the
diquark condensation, for which we present recent results obtained on a finer
lattice compared to previous studies. The quark propagator in two-color QCD at
non-zero chemical potential is referred to as the Gor'kov propagator. We
express the Gor'kov propagator in terms of form factors and present recent
lattice simulation results.
