  We construct an exact dynamical mean field theory for nonresonant inelastic
light scattering in the infinite-dimensional Falicov-Kimball model, which can
be tuned through a quantum critical metal-insulator transition. Due to the
projection of the polarization orientations onto different regions of the
Brillouin zone and due to the transfer of energy and momentum from the light to
the strongly correlated charge excitations, the nature of the dynamics can be
naturally interpreted as strongly temperature-dependent low-energy
particle-hole excitations and weakly temperature-dependent high-energy charge
transfer excitations which depend delicately on the electronic correlations.
These results can be used to give important information concerning the
evolution of charge dynamics in different regions of the Brillouin zone.
