Semi-transparent boundary conditions in the worldline formalism

Autores
Franchino Viñas, Sebastián Alberto; González Pisani, Pablo Andrés
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The interaction of a quantum field with a background containing a Dirac delta function with support on a surface of codimension 1 represents a particular kind of matching conditions on that surface for the field. In this article we show that the worldline formalism canbe applied to this model. We obtain the asymptotic expansion of the heat-kernel corresponding to a scalar field on R^{d+1} in the presence of an arbitrary regular potential and subject to this kind of matching conditions on a flat surface. We also consider two such surfaces and compute their Casimir attraction due to the vacuum fluctuations of a massive scalar field weakly coupled to the corresponding Dirac deltas.
Fil: Franchino Viñas, Sebastián Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: González Pisani, Pablo Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
SEMI-TRANSPARENT BOUNDARY CONDITIONS
WORLDLINE FORMALISM
CASIMIR ENERGY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/278658
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/278658
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Semi-transparent boundary conditions in the worldline formalismFranchino Viñas, Sebastián AlbertoGonzález Pisani, Pablo AndrésSEMI-TRANSPARENT BOUNDARY CONDITIONSWORLDLINE FORMALISMCASIMIR ENERGYhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The interaction of a quantum field with a background containing a Dirac delta function with support on a surface of codimension 1 represents a particular kind of matching conditions on that surface for the field. In this article we show that the worldline formalism canbe applied to this model. We obtain the asymptotic expansion of the heat-kernel corresponding to a scalar field on R^{d+1} in the presence of an arbitrary regular potential and subject to this kind of matching conditions on a flat surface. We also consider two such surfaces and compute their Casimir attraction due to the vacuum fluctuations of a massive scalar field weakly coupled to the corresponding Dirac deltas.Fil: Franchino Viñas, Sebastián Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: González Pisani, Pablo Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaIOP Publishing2011-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/278658Franchino Viñas, Sebastián Alberto; González Pisani, Pablo Andrés; Semi-transparent boundary conditions in the worldline formalism; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 44; 29; 7-2011; 1-131751-8113CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1751-8121/44/29/295401/info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/44/29/295401info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-01-14T12:25:07Zoai:ri.conicet.gov.ar:11336/278658instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-01-14 12:25:08.115CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Semi-transparent boundary conditions in the worldline formalism
title Semi-transparent boundary conditions in the worldline formalism
spellingShingle Semi-transparent boundary conditions in the worldline formalism
Franchino Viñas, Sebastián Alberto
SEMI-TRANSPARENT BOUNDARY CONDITIONS
WORLDLINE FORMALISM
CASIMIR ENERGY
title_short Semi-transparent boundary conditions in the worldline formalism
title_full Semi-transparent boundary conditions in the worldline formalism
title_fullStr Semi-transparent boundary conditions in the worldline formalism
title_full_unstemmed Semi-transparent boundary conditions in the worldline formalism
title_sort Semi-transparent boundary conditions in the worldline formalism
dc.creator.none.fl_str_mv Franchino Viñas, Sebastián Alberto
González Pisani, Pablo Andrés
author Franchino Viñas, Sebastián Alberto
author_facet Franchino Viñas, Sebastián Alberto
González Pisani, Pablo Andrés
author_role author
author2 González Pisani, Pablo Andrés
author2_role author
dc.subject.none.fl_str_mv SEMI-TRANSPARENT BOUNDARY CONDITIONS
WORLDLINE FORMALISM
CASIMIR ENERGY
topic SEMI-TRANSPARENT BOUNDARY CONDITIONS
WORLDLINE FORMALISM
CASIMIR ENERGY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The interaction of a quantum field with a background containing a Dirac delta function with support on a surface of codimension 1 represents a particular kind of matching conditions on that surface for the field. In this article we show that the worldline formalism canbe applied to this model. We obtain the asymptotic expansion of the heat-kernel corresponding to a scalar field on R^{d+1} in the presence of an arbitrary regular potential and subject to this kind of matching conditions on a flat surface. We also consider two such surfaces and compute their Casimir attraction due to the vacuum fluctuations of a massive scalar field weakly coupled to the corresponding Dirac deltas.
Fil: Franchino Viñas, Sebastián Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: González Pisani, Pablo Andrés. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description The interaction of a quantum field with a background containing a Dirac delta function with support on a surface of codimension 1 represents a particular kind of matching conditions on that surface for the field. In this article we show that the worldline formalism canbe applied to this model. We obtain the asymptotic expansion of the heat-kernel corresponding to a scalar field on R^{d+1} in the presence of an arbitrary regular potential and subject to this kind of matching conditions on a flat surface. We also consider two such surfaces and compute their Casimir attraction due to the vacuum fluctuations of a massive scalar field weakly coupled to the corresponding Dirac deltas.
publishDate 2011
dc.date.none.fl_str_mv 2011-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/278658
Franchino Viñas, Sebastián Alberto; González Pisani, Pablo Andrés; Semi-transparent boundary conditions in the worldline formalism; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 44; 29; 7-2011; 1-13
1751-8113
CONICET Digital
CONICET
url http://hdl.handle.net/11336/278658
identifier_str_mv Franchino Viñas, Sebastián Alberto; González Pisani, Pablo Andrés; Semi-transparent boundary conditions in the worldline formalism; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 44; 29; 7-2011; 1-13
1751-8113
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1751-8121/44/29/295401/
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/44/29/295401
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.113929

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