Broke Scale Invariance Ward Identities for the Homogeneous Electron Gas

Abstract

We derive exact equations for a broken scale invariance of the homogeneous electron gas HEG, and show that they lead to a closed non-linear integral equation for the density- density correlation function when evaluated to leading order in the 1/N expansion. More generally, the identity leads to a sequence of more refined systems of equations, which close on a finite number of one plasmon irreducible (1PLI) correlation functions.

8 Pages, 1 Figure, LateX2e

References in corpus (1)

• Density Functional Theory for Field Theorists I

Cited by in corpus (1)

• Systematic Resummation of the Large N expansion of Vector Models: Application to the Hubbard model and $2+1$ dimensional QED