Two Hartree-Fock models for the vacuum polarization
Philippe Gravejat (CMLS-EcolePolytechnique), Christian Hainzl, Mathieu, Lewin (AGM), Eric S\'er\'e (CEREMADE)
TL;DR
This paper reviews two Hartree-Fock models for vacuum polarization, focusing on their derivation, analysis, and consistency with quantum electrodynamics, emphasizing a self-consistent polarized vacuum construction.
Contribution
It introduces and analyzes two non-perturbative Hartree-Fock models for vacuum polarization, bridging them with quantum electrodynamics.
Findings
Successful variational construction of a self-consistent polarized vacuum
Demonstrated physical agreement with perturbative QED descriptions
Provided rigorous analysis of the models' properties
Abstract
We review recent results about the derivation and the analysis of two Hartree-Fock-type models for the polarization of vacuum. We pay particular attention to the variational construction of a self-consistent polarized vacuum, and to the physical agreement between our non-perturbative construction and the perturbative description provided by Quantum Electrodynamics.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum Mechanics and Non-Hermitian Physics · Quantum Electrodynamics and Casimir Effect