Worldline approach to the Grosse-Wulkenhaar model
- Autores
- Franchino Viñas, Sebastián Alberto; 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.
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
-
FIELD THEORIES IN HIGHER DIMENSIONS
NON-COMMUTATIVE GEOMETRY
RENORMALIZATION REGULARIZATION AND RENORMALONS - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/37392
Ver los metadatos del registro completo
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Worldline approach to the Grosse-Wulkenhaar modelFranchino Viñas, Sebastián AlbertoGonzález Pisani, Pablo AndrésFIELD THEORIES IN HIGHER DIMENSIONSNON-COMMUTATIVE GEOMETRYRENORMALIZATION REGULARIZATION AND RENORMALONShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We 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.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; 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; ArgentinaSpringer2014-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/37392Franchino Viñas, Sebastián Alberto; González Pisani, Pablo Andrés; Worldline approach to the Grosse-Wulkenhaar model; Springer; Journal of High Energy Physics; 2014; 11; 11-2014; 87-1091126-67081029-8479CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/JHEP11(2014)087info:eu-repo/semantics/altIdentifier/doi/10.1007/JHEP11(2014)087info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1406.7336info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:43:34Zoai:ri.conicet.gov.ar:11336/37392instacron: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 10:43:34.952CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| 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 Alberto 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 Alberto González Pisani, Pablo Andrés |
| author |
Franchino Viñas, Sebastián Alberto |
| author_facet |
Franchino Viñas, Sebastián Alberto González Pisani, Pablo Andrés |
| author_role |
author |
| author2 |
González Pisani, Pablo Andrés |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
FIELD THEORIES IN HIGHER DIMENSIONS NON-COMMUTATIVE GEOMETRY RENORMALIZATION REGULARIZATION AND RENORMALONS |
| topic |
FIELD THEORIES IN HIGHER DIMENSIONS NON-COMMUTATIVE GEOMETRY RENORMALIZATION REGULARIZATION AND RENORMALONS |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| 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. 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 |
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 |
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2014-11 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://hdl.handle.net/11336/37392 Franchino Viñas, Sebastián Alberto; González Pisani, Pablo Andrés; Worldline approach to the Grosse-Wulkenhaar model; Springer; Journal of High Energy Physics; 2014; 11; 11-2014; 87-109 1126-6708 1029-8479 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/37392 |
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Franchino Viñas, Sebastián Alberto; González Pisani, Pablo Andrés; Worldline approach to the Grosse-Wulkenhaar model; Springer; Journal of High Energy Physics; 2014; 11; 11-2014; 87-109 1126-6708 1029-8479 CONICET Digital CONICET |
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eng |
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eng |
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