Effective action for delta potentials: Spacetime-dependent inhomogeneities and Casimir self-energy

Autores
Franchino Viñas, Sebastián Alberto; Mazzitelli, Francisco Diego
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the vacuum fluctuations of a quantum scalar field in the presence of a thin and inhomogeneous flat mirror, modelled with a delta potential. Using Heat-Kernel techniques, we evaluate the Euclidean effective action perturbatively in the inhomogeneities (nonperturbatively in the constant background). We show that the divergences can be absorbed into a local counterterm, and that the remaining finite part is in general a nonlocal functional of the inhomogeneities, which we compute explicitly for massless fields in D = 4 dimensions. For time-independent inhomogeneities, the effective action gives the Casimir self-energy for a partially transmitting mirror. For time-dependent inhomogeneites, the Wick-rotated effective action gives the probability of particle creation due to the dynamical Casimir effect.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Física
vacuum fluctuations
inhomogeneities
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/143583
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/143583
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Effective action for delta potentials: Spacetime-dependent inhomogeneities and Casimir self-energyFranchino Viñas, Sebastián AlbertoMazzitelli, Francisco DiegoCiencias ExactasFísicavacuum fluctuationsinhomogeneitiesWe study the vacuum fluctuations of a quantum scalar field in the presence of a thin and inhomogeneous flat mirror, modelled with a delta potential. Using Heat-Kernel techniques, we evaluate the Euclidean effective action perturbatively in the inhomogeneities (nonperturbatively in the constant background). We show that the divergences can be absorbed into a local counterterm, and that the remaining finite part is in general a nonlocal functional of the inhomogeneities, which we compute explicitly for massless fields in D = 4 dimensions. For time-independent inhomogeneities, the effective action gives the Casimir self-energy for a partially transmitting mirror. For time-dependent inhomogeneites, the Wick-rotated effective action gives the probability of particle creation due to the dynamical Casimir effect.Facultad de Ciencias Exactas2021-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/143583enginfo:eu-repo/semantics/altIdentifier/issn/2470-0010info:eu-repo/semantics/altIdentifier/issn/2470-0029info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevd.103.065006info:eu-repo/semantics/altIdentifier/arxiv/2010.11144info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:32:36Zoai:sedici.unlp.edu.ar:10915/143583Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:32:37.08SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Effective action for delta potentials: Spacetime-dependent inhomogeneities and Casimir self-energy
title Effective action for delta potentials: Spacetime-dependent inhomogeneities and Casimir self-energy
spellingShingle Effective action for delta potentials: Spacetime-dependent inhomogeneities and Casimir self-energy
Franchino Viñas, Sebastián Alberto
Ciencias Exactas
Física
vacuum fluctuations
inhomogeneities
title_short Effective action for delta potentials: Spacetime-dependent inhomogeneities and Casimir self-energy
title_full Effective action for delta potentials: Spacetime-dependent inhomogeneities and Casimir self-energy
title_fullStr Effective action for delta potentials: Spacetime-dependent inhomogeneities and Casimir self-energy
title_full_unstemmed Effective action for delta potentials: Spacetime-dependent inhomogeneities and Casimir self-energy
title_sort Effective action for delta potentials: Spacetime-dependent inhomogeneities and Casimir self-energy
dc.creator.none.fl_str_mv Franchino Viñas, Sebastián Alberto
Mazzitelli, Francisco Diego
author Franchino Viñas, Sebastián Alberto
author_facet Franchino Viñas, Sebastián Alberto
Mazzitelli, Francisco Diego
author_role author
author2 Mazzitelli, Francisco Diego
author2_role author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
vacuum fluctuations
inhomogeneities
topic Ciencias Exactas
Física
vacuum fluctuations
inhomogeneities
dc.description.none.fl_txt_mv We study the vacuum fluctuations of a quantum scalar field in the presence of a thin and inhomogeneous flat mirror, modelled with a delta potential. Using Heat-Kernel techniques, we evaluate the Euclidean effective action perturbatively in the inhomogeneities (nonperturbatively in the constant background). We show that the divergences can be absorbed into a local counterterm, and that the remaining finite part is in general a nonlocal functional of the inhomogeneities, which we compute explicitly for massless fields in D = 4 dimensions. For time-independent inhomogeneities, the effective action gives the Casimir self-energy for a partially transmitting mirror. For time-dependent inhomogeneites, the Wick-rotated effective action gives the probability of particle creation due to the dynamical Casimir effect.
Facultad de Ciencias Exactas
description We study the vacuum fluctuations of a quantum scalar field in the presence of a thin and inhomogeneous flat mirror, modelled with a delta potential. Using Heat-Kernel techniques, we evaluate the Euclidean effective action perturbatively in the inhomogeneities (nonperturbatively in the constant background). We show that the divergences can be absorbed into a local counterterm, and that the remaining finite part is in general a nonlocal functional of the inhomogeneities, which we compute explicitly for massless fields in D = 4 dimensions. For time-independent inhomogeneities, the effective action gives the Casimir self-energy for a partially transmitting mirror. For time-dependent inhomogeneites, the Wick-rotated effective action gives the probability of particle creation due to the dynamical Casimir effect.
publishDate 2021
dc.date.none.fl_str_mv 2021-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/143583
url http://sedici.unlp.edu.ar/handle/10915/143583
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/2470-0010
info:eu-repo/semantics/altIdentifier/issn/2470-0029
info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevd.103.065006
info:eu-repo/semantics/altIdentifier/arxiv/2010.11144
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.070432

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