  The functional renormalization group method is used to take into account the
vacuum polarization around localized bound states generated by external
potential. The application to Atomic Physics leads to improved Hartree-Fock and
Kohn-Sham equations in a systematic manner within the framework of the Density
Functional Theory. Another application to Condensed Matter Physics consists of
an algorithm to compute quenched averages with or without Coulomb interaction
in a non-perturbative manner.
