  The role of neutrality constraints for the phase structure of QCD at
non-vanishing chemical potentials is studied within a self-consistent
truncation scheme for the Dyson-Schwinger equation of the quark propagator in
Landau gauge. We find the (approximate) color-flavor-locked phase to be
energetically preferred at all potentially relevant densities and for physical
values of the quark masses. We furthermore observe the impossibility to define
this phase by residual global symmetries and discuss the role of chemical
potentials.
