Spectral asymmetry on the ball and asymptotics of the asymmetry kernel

Autores
Kirchberg, A.; Kirsten, Klaus; Santángelo, Eve Mariel; Wipf, Andreas
Año de publicación
2006
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let be i∂/ the Dirac operator on a D = 2d dimensional ball B with radius R. We calculate the spectral asymmetry η(0, i∂/) for D = 2 and D = 4, when local chiral bag boundary conditions are imposed. With these boundary conditions, we also analyse the small-t asymptotics of the heat trace TrFP e−tP² where P is an operator of Dirac type and F is an auxiliary smooth smearing function.
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Física
Global analysis and analysis on manifolds
Theory of quantized fields
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:10915/132149

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repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Spectral asymmetry on the ball and asymptotics of the asymmetry kernelKirchberg, A.Kirsten, KlausSantángelo, Eve MarielWipf, AndreasCiencias ExactasFísicaGlobal analysis and analysis on manifoldsTheory of quantized fieldsLet be i∂/ the Dirac operator on a D = 2d dimensional ball B with radius R. We calculate the spectral asymmetry η(0, i∂/) for D = 2 and D = 4, when local chiral bag boundary conditions are imposed. With these boundary conditions, we also analyse the small-t asymptotics of the heat trace TrFP e<sup>−tP²</sup> where P is an operator of Dirac type and F is an auxiliary smooth smearing function.Facultad de Ciencias Exactas2006-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf9573-9589http://sedici.unlp.edu.ar/handle/10915/132149enginfo:eu-repo/semantics/altIdentifier/issn/0305-4470info:eu-repo/semantics/altIdentifier/issn/1361-6447info:eu-repo/semantics/altIdentifier/arxiv/hep-th/0605067info:eu-repo/semantics/altIdentifier/doi/10.1088/0305-4470/39/30/012info: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:UNLP2025-09-29T11:31:18Zoai:sedici.unlp.edu.ar:10915/132149Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:31:18.594SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
title Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
spellingShingle Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
Kirchberg, A.
Ciencias Exactas
Física
Global analysis and analysis on manifolds
Theory of quantized fields
title_short Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
title_full Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
title_fullStr Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
title_full_unstemmed Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
title_sort Spectral asymmetry on the ball and asymptotics of the asymmetry kernel
dc.creator.none.fl_str_mv Kirchberg, A.
Kirsten, Klaus
Santángelo, Eve Mariel
Wipf, Andreas
author Kirchberg, A.
author_facet Kirchberg, A.
Kirsten, Klaus
Santángelo, Eve Mariel
Wipf, Andreas
author_role author
author2 Kirsten, Klaus
Santángelo, Eve Mariel
Wipf, Andreas
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Global analysis and analysis on manifolds
Theory of quantized fields
topic Ciencias Exactas
Física
Global analysis and analysis on manifolds
Theory of quantized fields
dc.description.none.fl_txt_mv Let be i∂/ the Dirac operator on a D = 2d dimensional ball B with radius R. We calculate the spectral asymmetry η(0, i∂/) for D = 2 and D = 4, when local chiral bag boundary conditions are imposed. With these boundary conditions, we also analyse the small-t asymptotics of the heat trace TrFP e<sup>−tP²</sup> where P is an operator of Dirac type and F is an auxiliary smooth smearing function.
Facultad de Ciencias Exactas
description Let be i∂/ the Dirac operator on a D = 2d dimensional ball B with radius R. We calculate the spectral asymmetry η(0, i∂/) for D = 2 and D = 4, when local chiral bag boundary conditions are imposed. With these boundary conditions, we also analyse the small-t asymptotics of the heat trace TrFP e<sup>−tP²</sup> where P is an operator of Dirac type and F is an auxiliary smooth smearing function.
publishDate 2006
dc.date.none.fl_str_mv 2006-07
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/10915/132149
url http://sedici.unlp.edu.ar/handle/10915/132149
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/0605067
info:eu-repo/semantics/altIdentifier/doi/10.1088/0305-4470/39/30/012
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
9573-9589
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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