Renormalization on noncommutative torus

Autores
D'ascanio, Daniela; González Pisani, Pablo Andrés; Vassilevich, D.V.
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study a self-interacting scalar φ4 theory on the d-dimensional noncommutative torus. We determine, for the particular cases d= 2 and d= 4 , the counterterms required by one-loop renormalization. We discuss higher loops in two dimensions and two-loop contributions to the self-energy in four dimensions. Our analysis points toward the absence of any problems related to the ultraviolet/infrared mixing and thus to renormalizability of the theory. However, we find another potentially troubling phenomenon which is a wild behavior of the two-point amplitude as a function of the noncommutativity matrix θ.
Fil: D'ascanio, Daniela. 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
Fil: Vassilevich, D.V.. Universidade Federal Do Abc; Brasil. Tomsk State University; Rusia
Materia
NONCOMMUTATIVE
RENORMALIZATION
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:11336/71573
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Renormalization on noncommutative torusD'ascanio, DanielaGonzález Pisani, Pablo AndrésVassilevich, D.V.NONCOMMUTATIVERENORMALIZATIONhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study a self-interacting scalar φ4 theory on the d-dimensional noncommutative torus. We determine, for the particular cases d= 2 and d= 4 , the counterterms required by one-loop renormalization. We discuss higher loops in two dimensions and two-loop contributions to the self-energy in four dimensions. Our analysis points toward the absence of any problems related to the ultraviolet/infrared mixing and thus to renormalizability of the theory. However, we find another potentially troubling phenomenon which is a wild behavior of the two-point amplitude as a function of the noncommutativity matrix θ.Fil: D'ascanio, Daniela. 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; ArgentinaFil: Vassilevich, D.V.. Universidade Federal Do Abc; Brasil. Tomsk State University; RusiaSpringer2016-04info: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/11336/71573D'ascanio, Daniela; González Pisani, Pablo Andrés; Vassilevich, D.V.; Renormalization on noncommutative torus; Springer; European Physical Journal C: Particles and Fields; 76; 4; 4-2016; 180-1901434-6044CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1140%2Fepjc%2Fs10052-016-4022-zinfo:eu-repo/semantics/altIdentifier/doi/10.1140/epjc/s10052-016-4022-zinfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1602.01479info: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:11336/71573instacron: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 09:32:24.78CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Renormalization on noncommutative torus
title Renormalization on noncommutative torus
spellingShingle Renormalization on noncommutative torus
D'ascanio, Daniela
NONCOMMUTATIVE
RENORMALIZATION
title_short Renormalization on noncommutative torus
title_full Renormalization on noncommutative torus
title_fullStr Renormalization on noncommutative torus
title_full_unstemmed Renormalization on noncommutative torus
title_sort Renormalization on noncommutative torus
dc.creator.none.fl_str_mv D'ascanio, Daniela
González Pisani, Pablo Andrés
Vassilevich, D.V.
author D'ascanio, Daniela
author_facet D'ascanio, Daniela
González Pisani, Pablo Andrés
Vassilevich, D.V.
author_role author
author2 González Pisani, Pablo Andrés
Vassilevich, D.V.
author2_role author
author
dc.subject.none.fl_str_mv NONCOMMUTATIVE
RENORMALIZATION
topic NONCOMMUTATIVE
RENORMALIZATION
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 study a self-interacting scalar φ4 theory on the d-dimensional noncommutative torus. We determine, for the particular cases d= 2 and d= 4 , the counterterms required by one-loop renormalization. We discuss higher loops in two dimensions and two-loop contributions to the self-energy in four dimensions. Our analysis points toward the absence of any problems related to the ultraviolet/infrared mixing and thus to renormalizability of the theory. However, we find another potentially troubling phenomenon which is a wild behavior of the two-point amplitude as a function of the noncommutativity matrix θ.
Fil: D'ascanio, Daniela. 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
Fil: Vassilevich, D.V.. Universidade Federal Do Abc; Brasil. Tomsk State University; Rusia
description We study a self-interacting scalar φ4 theory on the d-dimensional noncommutative torus. We determine, for the particular cases d= 2 and d= 4 , the counterterms required by one-loop renormalization. We discuss higher loops in two dimensions and two-loop contributions to the self-energy in four dimensions. Our analysis points toward the absence of any problems related to the ultraviolet/infrared mixing and thus to renormalizability of the theory. However, we find another potentially troubling phenomenon which is a wild behavior of the two-point amplitude as a function of the noncommutativity matrix θ.
publishDate 2016
dc.date.none.fl_str_mv 2016-04
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/11336/71573
D'ascanio, Daniela; González Pisani, Pablo Andrés; Vassilevich, D.V.; Renormalization on noncommutative torus; Springer; European Physical Journal C: Particles and Fields; 76; 4; 4-2016; 180-190
1434-6044
CONICET Digital
CONICET
url http://hdl.handle.net/11336/71573
identifier_str_mv D'ascanio, Daniela; González Pisani, Pablo Andrés; Vassilevich, D.V.; Renormalization on noncommutative torus; Springer; European Physical Journal C: Particles and Fields; 76; 4; 4-2016; 180-190
1434-6044
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://link.springer.com/article/10.1140%2Fepjc%2Fs10052-016-4022-z
info:eu-repo/semantics/altIdentifier/doi/10.1140/epjc/s10052-016-4022-z
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1602.01479
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 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 13.070432

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