  We propose a continuum representation of the Dynamical Mean Field Theory, in
which we were able to derive an exact overlap between the Dynamical Mean Field
Theory and band structure methods, such as the Density Functional Theory. The
implementation of this exact double-counting shows improved agreement between
theory and experiment in several correlated solids, such as the transition
metal oxides and lanthanides. Previously introduced nominal double-counting is
in much better agreement with the exact double-counting than most widely used
fully localized limit formula.
