Scalar field on non-integer dimensional spaces
- Autores
- Trinchero, Roberto Carlos
- Año de publicación
- 2012
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Deformations of the canonical spectral triples over the n-dimensional torus are considered. These deformations have a discrete dimension spectrum consisting of non-integer values less than n. The differential algebra corresponding to these spectral triples is studied. No junk forms appear for non-vanishing deformation parameter. The action of a scalar field in these spaces is considered, leading to non-trivial extra structure compared to the integer-dimensional cases, which does not involve a loss of covariance. One-loop contributions are computed leading to finite results for non-vanishing deformation.
Fil: Trinchero, Roberto Carlos. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina - Materia
-
DIMENSIONAL REGULARIZATION
NON-COMMUTATIVE GEOMETRY
NON-INTEGER DIMENSIONS - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/216613
Ver los metadatos del registro completo
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Scalar field on non-integer dimensional spacesTrinchero, Roberto CarlosDIMENSIONAL REGULARIZATIONNON-COMMUTATIVE GEOMETRYNON-INTEGER DIMENSIONShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Deformations of the canonical spectral triples over the n-dimensional torus are considered. These deformations have a discrete dimension spectrum consisting of non-integer values less than n. The differential algebra corresponding to these spectral triples is studied. No junk forms appear for non-vanishing deformation parameter. The action of a scalar field in these spaces is considered, leading to non-trivial extra structure compared to the integer-dimensional cases, which does not involve a loss of covariance. One-loop contributions are computed leading to finite results for non-vanishing deformation.Fil: Trinchero, Roberto Carlos. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaWorld Scientific2012-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/216613Trinchero, Roberto Carlos; Scalar field on non-integer dimensional spaces; World Scientific; International Journal of Geometric Methods in Modern Physics; 9; 8; 9-2012; 1-160219-8878CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1142/S0219887812500703info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0219887812500703info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:40:59Zoai:ri.conicet.gov.ar:11336/216613instacron: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 09:40:59.357CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Scalar field on non-integer dimensional spaces |
title |
Scalar field on non-integer dimensional spaces |
spellingShingle |
Scalar field on non-integer dimensional spaces Trinchero, Roberto Carlos DIMENSIONAL REGULARIZATION NON-COMMUTATIVE GEOMETRY NON-INTEGER DIMENSIONS |
title_short |
Scalar field on non-integer dimensional spaces |
title_full |
Scalar field on non-integer dimensional spaces |
title_fullStr |
Scalar field on non-integer dimensional spaces |
title_full_unstemmed |
Scalar field on non-integer dimensional spaces |
title_sort |
Scalar field on non-integer dimensional spaces |
dc.creator.none.fl_str_mv |
Trinchero, Roberto Carlos |
author |
Trinchero, Roberto Carlos |
author_facet |
Trinchero, Roberto Carlos |
author_role |
author |
dc.subject.none.fl_str_mv |
DIMENSIONAL REGULARIZATION NON-COMMUTATIVE GEOMETRY NON-INTEGER DIMENSIONS |
topic |
DIMENSIONAL REGULARIZATION NON-COMMUTATIVE GEOMETRY NON-INTEGER DIMENSIONS |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
Deformations of the canonical spectral triples over the n-dimensional torus are considered. These deformations have a discrete dimension spectrum consisting of non-integer values less than n. The differential algebra corresponding to these spectral triples is studied. No junk forms appear for non-vanishing deformation parameter. The action of a scalar field in these spaces is considered, leading to non-trivial extra structure compared to the integer-dimensional cases, which does not involve a loss of covariance. One-loop contributions are computed leading to finite results for non-vanishing deformation. Fil: Trinchero, Roberto Carlos. Comisión Nacional de Energía Atómica. Gerencia del Área de Investigación y Aplicaciones No Nucleares. Gerencia de Física (Centro Atómico Bariloche); Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina |
description |
Deformations of the canonical spectral triples over the n-dimensional torus are considered. These deformations have a discrete dimension spectrum consisting of non-integer values less than n. The differential algebra corresponding to these spectral triples is studied. No junk forms appear for non-vanishing deformation parameter. The action of a scalar field in these spaces is considered, leading to non-trivial extra structure compared to the integer-dimensional cases, which does not involve a loss of covariance. One-loop contributions are computed leading to finite results for non-vanishing deformation. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-09 |
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/11336/216613 Trinchero, Roberto Carlos; Scalar field on non-integer dimensional spaces; World Scientific; International Journal of Geometric Methods in Modern Physics; 9; 8; 9-2012; 1-16 0219-8878 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/216613 |
identifier_str_mv |
Trinchero, Roberto Carlos; Scalar field on non-integer dimensional spaces; World Scientific; International Journal of Geometric Methods in Modern Physics; 9; 8; 9-2012; 1-16 0219-8878 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1142/S0219887812500703 info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S0219887812500703 |
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 |
World Scientific |
publisher.none.fl_str_mv |
World Scientific |
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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1844613296688201728 |
score |
13.070432 |