Scalar Field with Robin Boundary Conditions in the Worldline Formalism

Autores
Bastianelli, Fiorenzo; Corradini, Olindo; González Pisani, Pablo Andrés
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The worldline formalism has been widely used to compute physical quantities in quantum field theory. However, applications of this formalism to quantum fields in the presence of boundaries have been studied only recently. In this paper we show how to compute in the worldline approach the heat kernel expansion for a scalar field with boundary conditions of Robin type. In order to describe how this mechanism works, we compute the contributions due to the boundary conditions to the coefficients A1, A3/2 and A2 of the heat kernel expansion of a scalar field on the positive real line.
Facultad de Ciencias Exactas
Materia
Física
Theory of quantized fields
Field theory
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/132253
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/132253
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Scalar Field with Robin Boundary Conditions in the Worldline FormalismBastianelli, FiorenzoCorradini, OlindoGonzález Pisani, Pablo AndrésFísicaTheory of quantized fieldsField theoryThe worldline formalism has been widely used to compute physical quantities in quantum field theory. However, applications of this formalism to quantum fields in the presence of boundaries have been studied only recently. In this paper we show how to compute in the worldline approach the heat kernel expansion for a scalar field with boundary conditions of Robin type. In order to describe how this mechanism works, we compute the contributions due to the boundary conditions to the coefficients A1, A3/2 and A2 of the heat kernel expansion of a scalar field on the positive real line.Facultad de Ciencias Exactas2008-04-09info: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/10915/132253enginfo:eu-repo/semantics/altIdentifier/issn/1751-8113info:eu-repo/semantics/altIdentifier/issn/1751-8121info:eu-repo/semantics/altIdentifier/arxiv/0710.4026info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/41/16/164010info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:31:17Zoai:sedici.unlp.edu.ar:10915/132253Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:31:17.617SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Scalar Field with Robin Boundary Conditions in the Worldline Formalism
title Scalar Field with Robin Boundary Conditions in the Worldline Formalism
spellingShingle Scalar Field with Robin Boundary Conditions in the Worldline Formalism
Bastianelli, Fiorenzo
Física
Theory of quantized fields
Field theory
title_short Scalar Field with Robin Boundary Conditions in the Worldline Formalism
title_full Scalar Field with Robin Boundary Conditions in the Worldline Formalism
title_fullStr Scalar Field with Robin Boundary Conditions in the Worldline Formalism
title_full_unstemmed Scalar Field with Robin Boundary Conditions in the Worldline Formalism
title_sort Scalar Field with Robin Boundary Conditions in the Worldline Formalism
dc.creator.none.fl_str_mv Bastianelli, Fiorenzo
Corradini, Olindo
González Pisani, Pablo Andrés
author Bastianelli, Fiorenzo
author_facet Bastianelli, Fiorenzo
Corradini, Olindo
González Pisani, Pablo Andrés
author_role author
author2 Corradini, Olindo
González Pisani, Pablo Andrés
author2_role author
author
dc.subject.none.fl_str_mv Física
Theory of quantized fields
Field theory
topic Física
Theory of quantized fields
Field theory
dc.description.none.fl_txt_mv The worldline formalism has been widely used to compute physical quantities in quantum field theory. However, applications of this formalism to quantum fields in the presence of boundaries have been studied only recently. In this paper we show how to compute in the worldline approach the heat kernel expansion for a scalar field with boundary conditions of Robin type. In order to describe how this mechanism works, we compute the contributions due to the boundary conditions to the coefficients A1, A3/2 and A2 of the heat kernel expansion of a scalar field on the positive real line.
Facultad de Ciencias Exactas
description The worldline formalism has been widely used to compute physical quantities in quantum field theory. However, applications of this formalism to quantum fields in the presence of boundaries have been studied only recently. In this paper we show how to compute in the worldline approach the heat kernel expansion for a scalar field with boundary conditions of Robin type. In order to describe how this mechanism works, we compute the contributions due to the boundary conditions to the coefficients A1, A3/2 and A2 of the heat kernel expansion of a scalar field on the positive real line.
publishDate 2008
dc.date.none.fl_str_mv 2008-04-09
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/10915/132253
url http://sedici.unlp.edu.ar/handle/10915/132253
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1751-8113
info:eu-repo/semantics/altIdentifier/issn/1751-8121
info:eu-repo/semantics/altIdentifier/arxiv/0710.4026
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/41/16/164010
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 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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