  We analyze the eigenvalue spectrum of the staggered Dirac matrix in two-color
QCD at nonzero baryon density when the eigenvalues become complex. The
quasi-zero modes and their role for chiral symmetry breaking and the
deconfinement transition are examined. The bulk of the spectrum and its
relation to quantum chaos is considered. A comparison with predictions from
random matrix theory is presented. An analogous analysis is performed for the
spectrum of the Gor'kov representation of the fermionic action.
