Worldline approach to the Grosse-Wulkenhaar model

Autores
Franchino Viñas, Sebastián A.; González Pisani, Pablo Andrés
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We apply the worldline formalism to the Grosse-Wulkenhaar model and obtain an expression for the one-loop effective action which provides an efficient way for computing Schwinger functions in this theory. Using this expression we obtain the quantum corrections to the effective background and the β-functions, which are known to vanish at the self-dual point. The case of degenerate noncommutativity is also considered. Our main result can be straightforwardly applied to any polynomial self-interaction of the scalar field and we consider that the worldline approach could be useful for studying effective actions of noncommutative gauge fields as well as in other non-local models or in higher-derivative field theories.
Instituto de Física La Plata
Facultad de Ciencias Exactas
Materia
Ciencias Exactas
Física
Field Theories in Higher Dimensions
Non-Commutative Geometry
Renormalization Regularization and Renormalons
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/85150
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/85150
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Worldline approach to the Grosse-Wulkenhaar modelFranchino Viñas, Sebastián A.González Pisani, Pablo AndrésCiencias ExactasFísicaField Theories in Higher DimensionsNon-Commutative GeometryRenormalization Regularization and RenormalonsWe apply the worldline formalism to the Grosse-Wulkenhaar model and obtain an expression for the one-loop effective action which provides an efficient way for computing Schwinger functions in this theory. Using this expression we obtain the quantum corrections to the effective background and the β-functions, which are known to vanish at the self-dual point. The case of degenerate noncommutativity is also considered. Our main result can be straightforwardly applied to any polynomial self-interaction of the scalar field and we consider that the worldline approach could be useful for studying effective actions of noncommutative gauge fields as well as in other non-local models or in higher-derivative field theories.Instituto de Física La PlataFacultad de Ciencias Exactas2014-11-18info: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/10915/85150enginfo:eu-repo/semantics/altIdentifier/issn/1126-6708info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP11(2014)087info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T16:57:12Zoai:sedici.unlp.edu.ar:10915/85150Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 16:57:13.081SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Worldline approach to the Grosse-Wulkenhaar model
title Worldline approach to the Grosse-Wulkenhaar model
spellingShingle Worldline approach to the Grosse-Wulkenhaar model
Franchino Viñas, Sebastián A.
Ciencias Exactas
Física
Field Theories in Higher Dimensions
Non-Commutative Geometry
Renormalization Regularization and Renormalons
title_short Worldline approach to the Grosse-Wulkenhaar model
title_full Worldline approach to the Grosse-Wulkenhaar model
title_fullStr Worldline approach to the Grosse-Wulkenhaar model
title_full_unstemmed Worldline approach to the Grosse-Wulkenhaar model
title_sort Worldline approach to the Grosse-Wulkenhaar model
dc.creator.none.fl_str_mv Franchino Viñas, Sebastián A.
González Pisani, Pablo Andrés
author Franchino Viñas, Sebastián A.
author_facet Franchino Viñas, Sebastián A.
González Pisani, Pablo Andrés
author_role author
author2 González Pisani, Pablo Andrés
author2_role author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Field Theories in Higher Dimensions
Non-Commutative Geometry
Renormalization Regularization and Renormalons
topic Ciencias Exactas
Física
Field Theories in Higher Dimensions
Non-Commutative Geometry
Renormalization Regularization and Renormalons
dc.description.none.fl_txt_mv We apply the worldline formalism to the Grosse-Wulkenhaar model and obtain an expression for the one-loop effective action which provides an efficient way for computing Schwinger functions in this theory. Using this expression we obtain the quantum corrections to the effective background and the β-functions, which are known to vanish at the self-dual point. The case of degenerate noncommutativity is also considered. Our main result can be straightforwardly applied to any polynomial self-interaction of the scalar field and we consider that the worldline approach could be useful for studying effective actions of noncommutative gauge fields as well as in other non-local models or in higher-derivative field theories.
Instituto de Física La Plata
Facultad de Ciencias Exactas
description We apply the worldline formalism to the Grosse-Wulkenhaar model and obtain an expression for the one-loop effective action which provides an efficient way for computing Schwinger functions in this theory. Using this expression we obtain the quantum corrections to the effective background and the β-functions, which are known to vanish at the self-dual point. The case of degenerate noncommutativity is also considered. Our main result can be straightforwardly applied to any polynomial self-interaction of the scalar field and we consider that the worldline approach could be useful for studying effective actions of noncommutative gauge fields as well as in other non-local models or in higher-derivative field theories.
publishDate 2014
dc.date.none.fl_str_mv 2014-11-18
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/10915/85150
url http://sedici.unlp.edu.ar/handle/10915/85150
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1126-6708
info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP11(2014)087
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 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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