GUTZWILLER-CORRELATED WAVE-FUNCTIONS FOR DEGENERATE BANDS - EXACT RESULTS IN INFINITE DIMENSIONS

We introduce Gutzwiller-correlated wave functions for the variational investigation of general multi-band Hubbard models. We set up a diagra mmatic formalism which allows us to evaluate analytically ground-state properties in the limit of infinite spatial dimensions. In this limit recent results obtained within the Gutzwiller approximation are seen to become exact for these wave functions. We further show that the sla ve-boson mean-held theory for degenerate bands becomes variationally c ontrolled at zero temperature in infinite dimensions. Lastly, we brief ly comment on the variational approach to the Anderson transition in s trongly correlated electron systems.