Effective action and density functional theory

2001/08/31 by János Polonyi, J. Polonyi, K. Sailer · 1 citation
Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Physical and Chemical Molecular Interactions #Spectroscopy and Quantum Chemical Studies #cond-mat.str-el #nucl-th #physics.atm-clus

paper · pdf · doi:10.1103/physrevb.66.155113

New references and a numerical algorithm added, to appear in Phys. Rev. B. 30 pages, no figures

arxiv created 2002/07/09 · openalex publication_date 2002/10/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

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.

Citations

• The renormalization group and the ε expansion
• Exchange and correlation in atoms, molecules, and solids by the spin-density-functional formalism
• The renormalization group: Critical phenomena and the Kondo problem
• Self-Consistent Equations Including Exchange and Correlation Effects
• Broken Symmetries
• Generalized Kohn-Sham Density-Functional Theory via Effective Action Formalism

Cited by

• Current-density functional for disordered systems