| We use the limit of infinite dimensionality to study the metal-insulator transition and the transfer of spectral weight in the Falicov-Kimball and Hubbard models.; The latter displays a non trivial critical point, the physics of which we analyze using a novel self-consistent projective technique. This allows us to determine the critical as well as the low temperature properties of the Hubbard model in the limit of infinite dimensions exactly. The method is general and can be applied to study any system exhibiting a separation of scales.; We furthermore propose a model which mimics the effect of 1/d corrections to the limit of infinite dimensionality. This permits us to discuss modifications of the Mott transition, as well as to investigate the competition between Kondo and RKKY interactions. |
