Effective action and density functional theory
Strongly Correlated Electrons
2009-11-07 v2 Nuclear Theory
Atomic and Molecular Clusters
Abstract
The effective action for the charge density and the photon field is proposed as a generalization of the density functional. A simple definition is given for the density functional, as the functional Legendre transform of the generator functional of connected Green functions for the density and the photon field, offering systematic approximation schemes. The leading order of the perturbation expansion reproduces the Hartree-Fock equation. A renormalization group motivated method is introduced to turn on the Coulomb interaction gradually and to find corrections to the Hartree-Fock and the Kohn-Sham schemes.
Cite
@article{arxiv.cond-mat/0108179,
title = {Effective action and density functional theory},
author = {J. Polonyi and K. Sailer},
journal= {arXiv preprint arXiv:cond-mat/0108179},
year = {2009}
}
Comments
New references and a numerical algorithm added, to appear in Phys. Rev. B. 30 pages, no figures