  We investigate quantum chromodynamics with two colors at nonvanishing density
using Dyson-Schwinger equations. Lattice methods do not have a complex action
problem in this theory. Thus, we can benchmark our results and the effect of
truncations directly by comparing with the corresponding lattice results. We do
so for the gluon propagator, the chiral condensate, and the quark number
density and test variations of the employed truncation to improve the
agreement. Finally, we compare the effect of a truncation on the chiral and
confinement/deconfinement transitions in the phase diagrams of QCD and QCD with
the gauge groups $SU(2)$ and $G_2$.
