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.
Instituto de Física La Plata - Materia
-
Física
Higher loops
Ultraviolet/infrared mixing - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/86254
Ver los metadatos del registro completo
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Renormalization on noncommutative torusD'Ascanio, DanielaGonzález Pisani, Pablo AndrésVassilevich, D. V.FísicaHigher loopsUltraviolet/infrared mixingWe 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.Instituto de Física La Plata2016info: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/10915/86254enginfo:eu-repo/semantics/altIdentifier/issn/1434-6044info:eu-repo/semantics/altIdentifier/doi/10.1140/epjc/s10052-016-4022-zinfo: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:UNLP2025-09-29T11:16:49Zoai:sedici.unlp.edu.ar:10915/86254Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:16:49.347SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Renormalization on noncommutative torus |
| title |
Renormalization on noncommutative torus |
| spellingShingle |
Renormalization on noncommutative torus D'Ascanio, Daniela Física Higher loops Ultraviolet/infrared mixing |
| 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 |
Física Higher loops Ultraviolet/infrared mixing |
| topic |
Física Higher loops Ultraviolet/infrared mixing |
| 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. Instituto de Física La Plata |
| 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 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo 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://sedici.unlp.edu.ar/handle/10915/86254 |
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http://sedici.unlp.edu.ar/handle/10915/86254 |
| dc.language.none.fl_str_mv |
eng |
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eng |
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info:eu-repo/semantics/altIdentifier/issn/1434-6044 info:eu-repo/semantics/altIdentifier/doi/10.1140/epjc/s10052-016-4022-z |
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info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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openAccess |
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http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
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