  Using a novel self-consistent implementation of Hedin's GW perturbation
theory we calculate space and energy dependent self-energy for a number of
materials. We find it to be local in real space and rapidly convergent on
second-- to third-- nearest neighbors. Corrections beyond GW are evaluated and
shown to be completely localized within a single unit cell. This can be viewed
as a fully self consistent implementation of the dynamical mean field theory
for electronic structure calculations of real solids using a perturbative
impurity solver.
