Spectral asymmetry for bag boundary conditions

Autores
Beneventano, Carlota Gabriela; Santángelo, Eve Mariel; Wipf, Andreas
Año de publicación
2002
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We give an expression, in terms of boundary spectral functions, for the spectral asymmetry of the Euclidean Dirac operator in two dimensions, when its domain is determined by local boundary conditions, and the manifold is of product type. As an application, we explicitly evaluate the asymmetry in the case of a finite-length cylinder, and check that the outcome is consistent with our general result. Finally, we study the asymmetry in a disk, which is a non-product case, and propose an interpretation.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Física
Operator theory
Functional analysis
General topics in linear spectral theory for PDEs
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:10915/131059
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/131059
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Spectral asymmetry for bag boundary conditionsBeneventano, Carlota GabrielaSantángelo, Eve MarielWipf, AndreasCiencias ExactasFísicaOperator theoryFunctional analysisGeneral topics in linear spectral theory for PDEsWe give an expression, in terms of boundary spectral functions, for the spectral asymmetry of the Euclidean Dirac operator in two dimensions, when its domain is determined by local boundary conditions, and the manifold is of product type. As an application, we explicitly evaluate the asymmetry in the case of a finite-length cylinder, and check that the outcome is consistent with our general result. Finally, we study the asymmetry in a disk, which is a non-product case, and propose an interpretation.Facultad de Ciencias Exactas2002-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf9343-9354http://sedici.unlp.edu.ar/handle/10915/131059enginfo:eu-repo/semantics/altIdentifier/issn/0305-4470info:eu-repo/semantics/altIdentifier/issn/1361-6447info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0205199info:eu-repo/semantics/altIdentifier/doi/10.1088/0305-4470/35/44/305info: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:UNLP2025-09-29T11:31:13Zoai:sedici.unlp.edu.ar:10915/131059Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:31:13.862SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Spectral asymmetry for bag boundary conditions
title Spectral asymmetry for bag boundary conditions
spellingShingle Spectral asymmetry for bag boundary conditions
Beneventano, Carlota Gabriela
Ciencias Exactas
Física
Operator theory
Functional analysis
General topics in linear spectral theory for PDEs
title_short Spectral asymmetry for bag boundary conditions
title_full Spectral asymmetry for bag boundary conditions
title_fullStr Spectral asymmetry for bag boundary conditions
title_full_unstemmed Spectral asymmetry for bag boundary conditions
title_sort Spectral asymmetry for bag boundary conditions
dc.creator.none.fl_str_mv Beneventano, Carlota Gabriela
Santángelo, Eve Mariel
Wipf, Andreas
author Beneventano, Carlota Gabriela
author_facet Beneventano, Carlota Gabriela
Santángelo, Eve Mariel
Wipf, Andreas
author_role author
author2 Santángelo, Eve Mariel
Wipf, Andreas
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Operator theory
Functional analysis
General topics in linear spectral theory for PDEs
topic Ciencias Exactas
Física
Operator theory
Functional analysis
General topics in linear spectral theory for PDEs
dc.description.none.fl_txt_mv We give an expression, in terms of boundary spectral functions, for the spectral asymmetry of the Euclidean Dirac operator in two dimensions, when its domain is determined by local boundary conditions, and the manifold is of product type. As an application, we explicitly evaluate the asymmetry in the case of a finite-length cylinder, and check that the outcome is consistent with our general result. Finally, we study the asymmetry in a disk, which is a non-product case, and propose an interpretation.
Facultad de Ciencias Exactas
description We give an expression, in terms of boundary spectral functions, for the spectral asymmetry of the Euclidean Dirac operator in two dimensions, when its domain is determined by local boundary conditions, and the manifold is of product type. As an application, we explicitly evaluate the asymmetry in the case of a finite-length cylinder, and check that the outcome is consistent with our general result. Finally, we study the asymmetry in a disk, which is a non-product case, and propose an interpretation.
publishDate 2002
dc.date.none.fl_str_mv 2002-10
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/10915/131059
url http://sedici.unlp.edu.ar/handle/10915/131059
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0305-4470
info:eu-repo/semantics/altIdentifier/issn/1361-6447
info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0205199
info:eu-repo/semantics/altIdentifier/doi/10.1088/0305-4470/35/44/305
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
9343-9354
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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