Charge renormalisation in a mean-field approximation of QED

dc.contributor.author	Sok, Jérémy
dc.date.accessioned	2014-05-16T10:58:05Z
dc.date.available	2014-05-16T10:58:05Z
dc.date.issued	2014
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/13305
dc.language.iso	en	en
dc.subject	ground states	en
dc.subject	charge renormalisation	en
dc.subject	Bogoliubov-Dirc-Fock model	en
dc.subject	Dirac operator	en
dc.subject.ddc	520	en
dc.title	Charge renormalisation in a mean-field approximation of QED	en
dc.type	Document de travail / Working paper
dc.description.abstracten	We study the Bogoliubov-Dirac-Fock (BDF) model, a no-photon, mean-field approxi- mation of quantum electrodynamics that allows to study relativistic electrons interacting with the vacuum. It is a variational model in which states are represented by Hilbert- Schmidt operators. We prove a charge renormalisation formula that holds close to the non-relativistic limit: the density of a ground state is shown to be integrable although such a state is known not to be trace-class. We prove that we can take the non-relativistic limit by keeping track of the vacuum polarisation. We get an altered Hartree-Fock model due to the screening effect.	en
dc.publisher.name	Université Paris-Dauphine	en
dc.publisher.city	Paris	en
dc.identifier.citationpages	43	en
dc.identifier.urlsite	http://hal.archives-ouvertes.fr/hal-00909168	en
dc.subject.ddclabel	Sciences connexes (physique, astrophysique)	en
dc.description.submitted	non	en

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