Worldline formalism for a confined scalar field

Autores
Corradini, Olindo; Edwards, James P.; Huet, Idrish; Manzo, Lucas; González Pisani, Pablo Andrés
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The worldline formalism is a useful scheme in quantum field theory which has also become a powerful tool for numerical computations. The key ingredient in this formalism is the first quantization of an auxiliary point-particle whose transition amplitudes correspond to the heat-kernel of the operator of quantum fluctuations of the field theory. However, to study a quantum field which is confined within some boundaries one needs to restrict the path integration domain of the auxiliary point-particle to a specific subset of worldlines enclosed by those boundaries. We show how to implement this restriction for the case of a scalar field confined to the D-dimensional ball under Dirichlet and Neumann boundary conditions, and compute the first few heat-kernel coefficients as a verification of our construction. We argue that this approach could admit different generalizations.
Fil: Corradini, Olindo. Università Di Modena E Reggio Emilia.; Italia. Istituto Nazionale Di Fisica Nucleare; Italia
Fil: Edwards, James P.. Universidad Michoacana de San Nicolás de Hidalgo; México
Fil: Huet, Idrish. Universidad Nacional Autónoma de México; México
Fil: Manzo, Lucas. 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
DIFFERENTIAL AND ALGEBRAIC GEOMETRY
FIELD THEORIES IN HIGHER DIMENSIONS
SPACETIME SINGULARITIES
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:11336/128553
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Worldline formalism for a confined scalar fieldCorradini, OlindoEdwards, James P.Huet, IdrishManzo, LucasGonzález Pisani, Pablo AndrésDIFFERENTIAL AND ALGEBRAIC GEOMETRYFIELD THEORIES IN HIGHER DIMENSIONSSPACETIME SINGULARITIEShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The worldline formalism is a useful scheme in quantum field theory which has also become a powerful tool for numerical computations. The key ingredient in this formalism is the first quantization of an auxiliary point-particle whose transition amplitudes correspond to the heat-kernel of the operator of quantum fluctuations of the field theory. However, to study a quantum field which is confined within some boundaries one needs to restrict the path integration domain of the auxiliary point-particle to a specific subset of worldlines enclosed by those boundaries. We show how to implement this restriction for the case of a scalar field confined to the D-dimensional ball under Dirichlet and Neumann boundary conditions, and compute the first few heat-kernel coefficients as a verification of our construction. We argue that this approach could admit different generalizations.Fil: Corradini, Olindo. Università Di Modena E Reggio Emilia.; Italia. Istituto Nazionale Di Fisica Nucleare; ItaliaFil: Edwards, James P.. Universidad Michoacana de San Nicolás de Hidalgo; MéxicoFil: Huet, Idrish. Universidad Nacional Autónoma de México; MéxicoFil: Manzo, Lucas. 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; ArgentinaSpringer2019-08-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/128553Corradini, Olindo; Edwards, James P.; Huet, Idrish; Manzo, Lucas; González Pisani, Pablo Andrés; Worldline formalism for a confined scalar field; Springer; Journal of High Energy Physics; 8; 37; 7-8-2019; 1-211126-6708CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP08(2019)037info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP08(2019)037info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1905.00945info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:21:45Zoai:ri.conicet.gov.ar:11336/128553instacron: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:34982025-10-22 11:21:45.388CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Worldline formalism for a confined scalar field
title Worldline formalism for a confined scalar field
spellingShingle Worldline formalism for a confined scalar field
Corradini, Olindo
DIFFERENTIAL AND ALGEBRAIC GEOMETRY
FIELD THEORIES IN HIGHER DIMENSIONS
SPACETIME SINGULARITIES
title_short Worldline formalism for a confined scalar field
title_full Worldline formalism for a confined scalar field
title_fullStr Worldline formalism for a confined scalar field
title_full_unstemmed Worldline formalism for a confined scalar field
title_sort Worldline formalism for a confined scalar field
dc.creator.none.fl_str_mv Corradini, Olindo
Edwards, James P.
Huet, Idrish
Manzo, Lucas
González Pisani, Pablo Andrés
author Corradini, Olindo
author_facet Corradini, Olindo
Edwards, James P.
Huet, Idrish
Manzo, Lucas
González Pisani, Pablo Andrés
author_role author
author2 Edwards, James P.
Huet, Idrish
Manzo, Lucas
González Pisani, Pablo Andrés
author2_role author
author
author
author
dc.subject.none.fl_str_mv DIFFERENTIAL AND ALGEBRAIC GEOMETRY
FIELD THEORIES IN HIGHER DIMENSIONS
SPACETIME SINGULARITIES
topic DIFFERENTIAL AND ALGEBRAIC GEOMETRY
FIELD THEORIES IN HIGHER DIMENSIONS
SPACETIME SINGULARITIES
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 worldline formalism is a useful scheme in quantum field theory which has also become a powerful tool for numerical computations. The key ingredient in this formalism is the first quantization of an auxiliary point-particle whose transition amplitudes correspond to the heat-kernel of the operator of quantum fluctuations of the field theory. However, to study a quantum field which is confined within some boundaries one needs to restrict the path integration domain of the auxiliary point-particle to a specific subset of worldlines enclosed by those boundaries. We show how to implement this restriction for the case of a scalar field confined to the D-dimensional ball under Dirichlet and Neumann boundary conditions, and compute the first few heat-kernel coefficients as a verification of our construction. We argue that this approach could admit different generalizations.
Fil: Corradini, Olindo. Università Di Modena E Reggio Emilia.; Italia. Istituto Nazionale Di Fisica Nucleare; Italia
Fil: Edwards, James P.. Universidad Michoacana de San Nicolás de Hidalgo; México
Fil: Huet, Idrish. Universidad Nacional Autónoma de México; México
Fil: Manzo, Lucas. 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 worldline formalism is a useful scheme in quantum field theory which has also become a powerful tool for numerical computations. The key ingredient in this formalism is the first quantization of an auxiliary point-particle whose transition amplitudes correspond to the heat-kernel of the operator of quantum fluctuations of the field theory. However, to study a quantum field which is confined within some boundaries one needs to restrict the path integration domain of the auxiliary point-particle to a specific subset of worldlines enclosed by those boundaries. We show how to implement this restriction for the case of a scalar field confined to the D-dimensional ball under Dirichlet and Neumann boundary conditions, and compute the first few heat-kernel coefficients as a verification of our construction. We argue that this approach could admit different generalizations.
publishDate 2019
dc.date.none.fl_str_mv 2019-08-07
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/11336/128553
Corradini, Olindo; Edwards, James P.; Huet, Idrish; Manzo, Lucas; González Pisani, Pablo Andrés; Worldline formalism for a confined scalar field; Springer; Journal of High Energy Physics; 8; 37; 7-8-2019; 1-21
1126-6708
CONICET Digital
CONICET
url http://hdl.handle.net/11336/128553
identifier_str_mv Corradini, Olindo; Edwards, James P.; Huet, Idrish; Manzo, Lucas; González Pisani, Pablo Andrés; Worldline formalism for a confined scalar field; Springer; Journal of High Energy Physics; 8; 37; 7-8-2019; 1-21
1126-6708
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP08(2019)037
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP08(2019)037
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1905.00945
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
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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 12.982451

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