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dc.contributor.authorLIll, S.
dc.date.accessioned2022-06-23T14:01:34Z
dc.date.available2022-06-23T14:01:34Z
dc.date.issued2022-06-04
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1480
dc.description.abstractIn quantum field theory (QFT) models, it often seems natural to use, instead of wave functions from Fock space, wave functions that are not square-integrable and have prefactors involving divergent integrals (known as infinite wave function renormalizations). Here, we rigorously construct vector spaces containing divergent integrals, as well as two extended state vector spaces, which contain a dense subspace of Fock space, but also incorporate non-square-integrable wave functions with infinite wave function renormalizations. As a demonstration, we apply this construction to a non-perturbative renormalization of a class of simple non-relativistic QFT models, which are polaron models with resting fermions. The Hamiltonian without cutoffs, an infinite self-energy and a dressing transformation are defined as linear operators on certain subspaces of the two Fock space extensions. This way, we can obtain a renormalized Hamiltonian which can be realized as a densely defined self-adjoint operator on Fock space.en_US
dc.description.sponsorshipWilhelm Schuler-Stiftung Tübingen, DAAD (Deutscher Akademischer Austauschdienst)en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectNon-perturbative QFT; renormalization; divergent integrals; Van Hove model; Fock space; Hamiltonian Formalism; dressing transformation; interior-boundary conditions (IBC)en_US
dc.titleExtended State Space for Describing Renormalized Fock Spaces in QFTen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.arxiv2012.12608
dc.relation.publisherversionhttps://arxiv.org/abs/2012.12608en_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/submittedVersionen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España