Thinking locally: reflections on Dynamical Mean-Field Theory from a   high-temperature/high energy perspective
  When spatial correlations are short-range, the physics of strongly correlated systems is controlled by local quantum fluctuations. In those regimes, Dynamical Mean-Field Theory can be viewed as a `compass' which provides guidance on the relevant degrees of freedom and their effective dynamics over intermediate energy scales. These intermediate energy scales and associated crossovers play a crucial role in the physics of strongly correlated materials. 
Antoine Georges
cond-mat.str-el