Casimir Energy through Transfer Operators for Sine-Gordon Backgrounds

The quantum vacuum interaction energy between a pair of semitransparent two-dimensional plates represented by Dirac delta potentials and its first derivative, embedded in the topological background of a sine-Gordon kink, is studied through an extension of the TGTG-formula (developped by O. Kenneth a...

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Autor: Santamaría Sanz, Lucía
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de Burgos (UBU)
Repositorio:Repositorio Institucional de la Universidad de Burgos (RIUBU)
OAI Identifier:oai:riubu.ubu.es:10259/10000
Acceso en línea:http://hdl.handle.net/10259/10000
Access Level:acceso abierto
Palabra clave:Física
Physics
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spelling Casimir Energy through Transfer Operators for Sine-Gordon BackgroundsSantamaría Sanz, LucíaFísicaPhysicsThe quantum vacuum interaction energy between a pair of semitransparent two-dimensional plates represented by Dirac delta potentials and its first derivative, embedded in the topological background of a sine-Gordon kink, is studied through an extension of the TGTG-formula (developped by O. Kenneth and I. Klich in the scattering approach). Quantum vacuum oscillations around the sine-Gordon kink solutions are interpreted as a quantum scalar field theory in the spacetime of a domain wall. Moreover, the relation between the phase shift and the density of states (the well-known Dashen–Hasslacher–Neveu or DHN formula) is also exploited to characterize the quantum vacuum energy.Oxford University Press202520252024info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10259/10000reponame:Repositorio Institucional de la Universidad de Burgos (RIUBU)instname:Universidad de Burgos (UBU)InglésProgress of Theoretical and Experimental Physics. 2024, V. 2024, n. 5https://doi.org/10.1093/ptep/ptae059Atribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riubu.ubu.es:10259/100002026-05-28T07:56:11Z
dc.title.none.fl_str_mv Casimir Energy through Transfer Operators for Sine-Gordon Backgrounds
title Casimir Energy through Transfer Operators for Sine-Gordon Backgrounds
spellingShingle Casimir Energy through Transfer Operators for Sine-Gordon Backgrounds
Santamaría Sanz, Lucía
Física
Physics
title_short Casimir Energy through Transfer Operators for Sine-Gordon Backgrounds
title_full Casimir Energy through Transfer Operators for Sine-Gordon Backgrounds
title_fullStr Casimir Energy through Transfer Operators for Sine-Gordon Backgrounds
title_full_unstemmed Casimir Energy through Transfer Operators for Sine-Gordon Backgrounds
title_sort Casimir Energy through Transfer Operators for Sine-Gordon Backgrounds
dc.creator.none.fl_str_mv Santamaría Sanz, Lucía
author Santamaría Sanz, Lucía
author_facet Santamaría Sanz, Lucía
author_role author
dc.subject.none.fl_str_mv Física
Physics
topic Física
Physics
description The quantum vacuum interaction energy between a pair of semitransparent two-dimensional plates represented by Dirac delta potentials and its first derivative, embedded in the topological background of a sine-Gordon kink, is studied through an extension of the TGTG-formula (developped by O. Kenneth and I. Klich in the scattering approach). Quantum vacuum oscillations around the sine-Gordon kink solutions are interpreted as a quantum scalar field theory in the spacetime of a domain wall. Moreover, the relation between the phase shift and the density of states (the well-known Dashen–Hasslacher–Neveu or DHN formula) is also exploited to characterize the quantum vacuum energy.
publishDate 2024
dc.date.none.fl_str_mv 2024
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10259/10000
url http://hdl.handle.net/10259/10000
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Progress of Theoretical and Experimental Physics. 2024, V. 2024, n. 5
https://doi.org/10.1093/ptep/ptae059
dc.rights.none.fl_str_mv Atribución 4.0 Internacional
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución 4.0 Internacional
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Oxford University Press
publisher.none.fl_str_mv Oxford University Press
dc.source.none.fl_str_mv reponame:Repositorio Institucional de la Universidad de Burgos (RIUBU)
instname:Universidad de Burgos (UBU)
instname_str Universidad de Burgos (UBU)
reponame_str Repositorio Institucional de la Universidad de Burgos (RIUBU)
collection Repositorio Institucional de la Universidad de Burgos (RIUBU)
repository.name.fl_str_mv
repository.mail.fl_str_mv
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