Worldline approach to noncommutative field theory

Autores
Bonezzi, Roberto; Corradini, O.; Franchino Viñas, Sebastián Alberto; González Pisani, Pablo Andrés
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The study of the heat-trace expansion in non-commutative field theory has shown the existence of Moyal non-local Seeley?DeWitt coefficients which are related to the UV/IR mixing and manifest, in some cases, the non-renormalizability of the theory. We show that these models can be studied in a worldline approach implemented in phase space and arrive at a master formula for the n-point contribution to the heat-trace expansion. This formulation could be useful in understanding some open problems in this area, as the heat-trace expansion for the non-commutative torus or the introduction of renormalizing terms in the action, as well as for generalizations to other non-local operators.
Fil: Bonezzi, Roberto. Università di Bologna; Italia
Fil: Corradini, O.. Universidad Autónoma de Chiapas; México
Fil: Franchino Viñas, Sebastián Alberto. 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
worldline
noncommutative-field-theory
heat-kernel
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:11336/270021

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network_name_str CONICET Digital (CONICET)
spelling Worldline approach to noncommutative field theoryBonezzi, RobertoCorradini, O.Franchino Viñas, Sebastián AlbertoGonzález Pisani, Pablo Andrésworldlinenoncommutative-field-theoryheat-kernelhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The study of the heat-trace expansion in non-commutative field theory has shown the existence of Moyal non-local Seeley?DeWitt coefficients which are related to the UV/IR mixing and manifest, in some cases, the non-renormalizability of the theory. We show that these models can be studied in a worldline approach implemented in phase space and arrive at a master formula for the n-point contribution to the heat-trace expansion. This formulation could be useful in understanding some open problems in this area, as the heat-trace expansion for the non-commutative torus or the introduction of renormalizing terms in the action, as well as for generalizations to other non-local operators.Fil: Bonezzi, Roberto. Università di Bologna; ItaliaFil: Corradini, O.. Universidad Autónoma de Chiapas; MéxicoFil: Franchino Viñas, Sebastián Alberto. 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; ArgentinaIOP Publishing2012-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/270021Bonezzi, Roberto; Corradini, O.; Franchino Viñas, Sebastián Alberto; González Pisani, Pablo Andrés; Worldline approach to noncommutative field theory; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 45; 40; 10-2012; 405401-4054161751-8113CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1751-8121/45/40/405401/info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/45/40/405401info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:32:24Zoai:ri.conicet.gov.ar:11336/270021instacron: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:34982025-09-29 09:32:24.732CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Worldline approach to noncommutative field theory
title Worldline approach to noncommutative field theory
spellingShingle Worldline approach to noncommutative field theory
Bonezzi, Roberto
worldline
noncommutative-field-theory
heat-kernel
title_short Worldline approach to noncommutative field theory
title_full Worldline approach to noncommutative field theory
title_fullStr Worldline approach to noncommutative field theory
title_full_unstemmed Worldline approach to noncommutative field theory
title_sort Worldline approach to noncommutative field theory
dc.creator.none.fl_str_mv Bonezzi, Roberto
Corradini, O.
Franchino Viñas, Sebastián Alberto
González Pisani, Pablo Andrés
author Bonezzi, Roberto
author_facet Bonezzi, Roberto
Corradini, O.
Franchino Viñas, Sebastián Alberto
González Pisani, Pablo Andrés
author_role author
author2 Corradini, O.
Franchino Viñas, Sebastián Alberto
González Pisani, Pablo Andrés
author2_role author
author
author
dc.subject.none.fl_str_mv worldline
noncommutative-field-theory
heat-kernel
topic worldline
noncommutative-field-theory
heat-kernel
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 study of the heat-trace expansion in non-commutative field theory has shown the existence of Moyal non-local Seeley?DeWitt coefficients which are related to the UV/IR mixing and manifest, in some cases, the non-renormalizability of the theory. We show that these models can be studied in a worldline approach implemented in phase space and arrive at a master formula for the n-point contribution to the heat-trace expansion. This formulation could be useful in understanding some open problems in this area, as the heat-trace expansion for the non-commutative torus or the introduction of renormalizing terms in the action, as well as for generalizations to other non-local operators.
Fil: Bonezzi, Roberto. Università di Bologna; Italia
Fil: Corradini, O.. Universidad Autónoma de Chiapas; México
Fil: Franchino Viñas, Sebastián Alberto. 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 study of the heat-trace expansion in non-commutative field theory has shown the existence of Moyal non-local Seeley?DeWitt coefficients which are related to the UV/IR mixing and manifest, in some cases, the non-renormalizability of the theory. We show that these models can be studied in a worldline approach implemented in phase space and arrive at a master formula for the n-point contribution to the heat-trace expansion. This formulation could be useful in understanding some open problems in this area, as the heat-trace expansion for the non-commutative torus or the introduction of renormalizing terms in the action, as well as for generalizations to other non-local operators.
publishDate 2012
dc.date.none.fl_str_mv 2012-10
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/11336/270021
Bonezzi, Roberto; Corradini, O.; Franchino Viñas, Sebastián Alberto; González Pisani, Pablo Andrés; Worldline approach to noncommutative field theory; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 45; 40; 10-2012; 405401-405416
1751-8113
CONICET Digital
CONICET
url http://hdl.handle.net/11336/270021
identifier_str_mv Bonezzi, Roberto; Corradini, O.; Franchino Viñas, Sebastián Alberto; González Pisani, Pablo Andrés; Worldline approach to noncommutative field theory; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 45; 40; 10-2012; 405401-405416
1751-8113
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1751-8121/45/40/405401/
info:eu-repo/semantics/altIdentifier/doi/10.1088/1751-8113/45/40/405401
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
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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 13.070432