We demonstrate the utility of a spectral approximation to fermion loop oper
ators using low-lying eigenmodes of the Hermitian Dirac-Wilson matrix, Q =
gamma M-5. The investigation is based on a total of 400 full QCD vacuum con
figurations, with two degenerate flavors of dynamical Wilson fermions at be
ta = 5.6, at two different sea quark masses. The spectral approach is highl
y competitive for accessing both topological charge and disconnected diagra
ms, on large lattices and small quark masses. We propose suitable partial s
ummation techniques that provide sufficient saturation for estimating Tr Q(
-1), which is related to the topological charge. In the effective mass plot
of the eta' meson we achieved a consistent early plateau formation, by gro
und state projecting the connected piece of its propagator.