Boundary dynamics and multiple reflection expansion for Robin boundary conditions

Autores
Bordag, Michael; Falomir, Horacio Alberto; Santángelo, Eve Mariel; Vassilevich, Dmitri
Año de publicación
2002
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In the presence of a boundary interaction, Neumann boundary conditions should be modified to contain a function S of the boundary fields: (∇N + S) φ = 0. Information on quantum boundary dynamics is then encoded in the S-dependent part of the effective action. In the present paper we extend the multiple reflection expansion method to the Robin boundary conditions mentioned above, and calculate the heat kernel and the effective action (i) for constant S, (ii) to the order S² with an arbitrary number of tangential derivatives. Some applications to symmetry breaking effects, tachyon condensation and a brane world are briefly discussed.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Física
boundary dynamics
Robin boundary condition
Physics
Neumann boundary condition
heat kernel
effective action
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:10915/126019
Acceder
id SEDICI_f87d97167e150ff57a6f2846784a817b
oai_identifier_str oai:sedici.unlp.edu.ar:10915/126019
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Boundary dynamics and multiple reflection expansion for Robin boundary conditionsBordag, MichaelFalomir, Horacio AlbertoSantángelo, Eve MarielVassilevich, DmitriCiencias ExactasFísicaboundary dynamicsRobin boundary conditionPhysicsNeumann boundary conditionheat kerneleffective actionIn the presence of a boundary interaction, Neumann boundary conditions should be modified to contain a function S of the boundary fields: (∇<sub>N</sub> + S) φ = 0. Information on quantum boundary dynamics is then encoded in the S-dependent part of the effective action. In the present paper we extend the multiple reflection expansion method to the Robin boundary conditions mentioned above, and calculate the heat kernel and the effective action (i) for constant S, (ii) to the order S² with an arbitrary number of tangential derivatives. Some applications to symmetry breaking effects, tachyon condensation and a brane world are briefly discussed.Facultad de Ciencias Exactas2002-03info: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/10915/126019enginfo:eu-repo/semantics/altIdentifier/issn/0556-2821info:eu-repo/semantics/altIdentifier/issn/1089-4918info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0111073info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevd.65.064032info: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:UNLP2025-09-03T11:02:24Zoai:sedici.unlp.edu.ar:10915/126019Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:02:24.691SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Boundary dynamics and multiple reflection expansion for Robin boundary conditions
title Boundary dynamics and multiple reflection expansion for Robin boundary conditions
spellingShingle Boundary dynamics and multiple reflection expansion for Robin boundary conditions
Bordag, Michael
Ciencias Exactas
Física
boundary dynamics
Robin boundary condition
Physics
Neumann boundary condition
heat kernel
effective action
title_short Boundary dynamics and multiple reflection expansion for Robin boundary conditions
title_full Boundary dynamics and multiple reflection expansion for Robin boundary conditions
title_fullStr Boundary dynamics and multiple reflection expansion for Robin boundary conditions
title_full_unstemmed Boundary dynamics and multiple reflection expansion for Robin boundary conditions
title_sort Boundary dynamics and multiple reflection expansion for Robin boundary conditions
dc.creator.none.fl_str_mv Bordag, Michael
Falomir, Horacio Alberto
Santángelo, Eve Mariel
Vassilevich, Dmitri
author Bordag, Michael
author_facet Bordag, Michael
Falomir, Horacio Alberto
Santángelo, Eve Mariel
Vassilevich, Dmitri
author_role author
author2 Falomir, Horacio Alberto
Santángelo, Eve Mariel
Vassilevich, Dmitri
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
boundary dynamics
Robin boundary condition
Physics
Neumann boundary condition
heat kernel
effective action
topic Ciencias Exactas
Física
boundary dynamics
Robin boundary condition
Physics
Neumann boundary condition
heat kernel
effective action
dc.description.none.fl_txt_mv In the presence of a boundary interaction, Neumann boundary conditions should be modified to contain a function S of the boundary fields: (∇<sub>N</sub> + S) φ = 0. Information on quantum boundary dynamics is then encoded in the S-dependent part of the effective action. In the present paper we extend the multiple reflection expansion method to the Robin boundary conditions mentioned above, and calculate the heat kernel and the effective action (i) for constant S, (ii) to the order S² with an arbitrary number of tangential derivatives. Some applications to symmetry breaking effects, tachyon condensation and a brane world are briefly discussed.
Facultad de Ciencias Exactas
description In the presence of a boundary interaction, Neumann boundary conditions should be modified to contain a function S of the boundary fields: (∇<sub>N</sub> + S) φ = 0. Information on quantum boundary dynamics is then encoded in the S-dependent part of the effective action. In the present paper we extend the multiple reflection expansion method to the Robin boundary conditions mentioned above, and calculate the heat kernel and the effective action (i) for constant S, (ii) to the order S² with an arbitrary number of tangential derivatives. Some applications to symmetry breaking effects, tachyon condensation and a brane world are briefly discussed.
publishDate 2002
dc.date.none.fl_str_mv 2002-03
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/10915/126019
url http://sedici.unlp.edu.ar/handle/10915/126019
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0556-2821
info:eu-repo/semantics/altIdentifier/issn/1089-4918
info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0111073
info:eu-repo/semantics/altIdentifier/doi/10.1103/physrevd.65.064032
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 13.13397

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