Broke Scale Invariance Ward Identities for the Homogeneous Electron Gas

Tom Banks

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arXiv · 1805.03571

Broke Scale Invariance Ward Identities for the Homogeneous Electron Gas

Tom Banks

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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.

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Tom Banks. 2018-05-09. Broke Scale Invariance Ward Identities for the Homogeneous Electron Gas. https://arxiv.org/abs/1805.03571

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