Internal Space Renormalization Group Methods for Atomic and Condensed Matter Physics

TL;DR

This paper introduces advanced renormalization group techniques to improve computational methods in atomic and condensed matter physics, enhancing existing models and enabling non-perturbative calculations.

Contribution

It develops a functional renormalization group approach to refine Hartree-Fock and Kohn-Sham equations and proposes an algorithm for non-perturbative quenched averages.

Findings

Improved Hartree-Fock and Kohn-Sham equations within Density Functional Theory.

Non-perturbative algorithm for quenched averages in condensed matter.

Enhanced accuracy in modeling vacuum polarization effects.

Abstract

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.