  We investigate the eigenvalue spectrum of the staggered Dirac matrix in SU(3)
and U(1) gauge theory as well as in full QCD with two colors and finite
chemical potential. Along the strong-coupling axis up to the phase transition,
the low-lying Dirac spectrum of these quantum field theories is well described
by random matrix theory and exhibits universal behavior. Related results for
gauge theories with minimal coupling are discussed in the chirally symmetric
phase and no universality is seen for the microscopic spectral densities.
