Interesting QFT Problems Tackled in New Fashion
- Autores
- Plastino, Ángel Luis; Rocca, Mario Carlos
- Año de publicación
- 2020
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- The Dimensional Regularization technique of Bollini and Giambiagi (BG) [Phys. Lett. B 40, 566 (1972); Il Nuovo Cim. B 12, 20 (1972); Phys. Rev. D 53, 5761 (1996)] cannot be employed for all Schwartz Tempered Distributions Explicitly Lorentz Invariant (STDELI) S′ L. We lifted such limitation in [J. Phys. Comm. 2 115029 (2018)], which opens new QFT possibilities, centering in the use of STDELI that allows one to obtain a product in a ring with zero divisors. This in turn, overcomes all problems regrading QFT in nities. We provide here three examples of the application of our STDELI-extension to quantum eld theory (A) the exact evaluation of an electron's self energy to one loop, (B) the exact evaluation of QED's vacuum polarization, and C) the λϕ4 4! theory for six dimensions, that is non-renormalizable.
Instituto de Física La Plata - Materia
-
Física
Dimensional Regularization Generalization
Electron Self Energy
Vacuum Polarization - 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:10915/119302
Ver los metadatos del registro completo
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Interesting QFT Problems Tackled in New FashionPlastino, Ángel LuisRocca, Mario CarlosFísicaDimensional Regularization GeneralizationElectron Self EnergyVacuum PolarizationThe Dimensional Regularization technique of Bollini and Giambiagi (BG) [Phys. Lett. B 40, 566 (1972); Il Nuovo Cim. B 12, 20 (1972); Phys. Rev. D 53, 5761 (1996)] cannot be employed for all Schwartz Tempered Distributions Explicitly Lorentz Invariant (STDELI) S′ L. We lifted such limitation in [J. Phys. Comm. 2 115029 (2018)], which opens new QFT possibilities, centering in the use of STDELI that allows one to obtain a product in a ring with zero divisors. This in turn, overcomes all problems regrading QFT in nities. We provide here three examples of the application of our STDELI-extension to quantum eld theory (A) the exact evaluation of an electron's self energy to one loop, (B) the exact evaluation of QED's vacuum polarization, and C) the λϕ4 4! theory for six dimensions, that is non-renormalizable.Instituto de Física La Plata2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf590-608http://sedici.unlp.edu.ar/handle/10915/119302enginfo:eu-repo/semantics/altIdentifier/issn/2380-4335info:eu-repo/semantics/altIdentifier/issn/2380-4327info:eu-repo/semantics/altIdentifier/doi/10.4236/jhepgc.2020.64040info: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:UNLP2025-10-22T17:09:04Zoai:sedici.unlp.edu.ar:10915/119302Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:09:05.069SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Interesting QFT Problems Tackled in New Fashion |
| title |
Interesting QFT Problems Tackled in New Fashion |
| spellingShingle |
Interesting QFT Problems Tackled in New Fashion Plastino, Ángel Luis Física Dimensional Regularization Generalization Electron Self Energy Vacuum Polarization |
| title_short |
Interesting QFT Problems Tackled in New Fashion |
| title_full |
Interesting QFT Problems Tackled in New Fashion |
| title_fullStr |
Interesting QFT Problems Tackled in New Fashion |
| title_full_unstemmed |
Interesting QFT Problems Tackled in New Fashion |
| title_sort |
Interesting QFT Problems Tackled in New Fashion |
| dc.creator.none.fl_str_mv |
Plastino, Ángel Luis Rocca, Mario Carlos |
| author |
Plastino, Ángel Luis |
| author_facet |
Plastino, Ángel Luis Rocca, Mario Carlos |
| author_role |
author |
| author2 |
Rocca, Mario Carlos |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Física Dimensional Regularization Generalization Electron Self Energy Vacuum Polarization |
| topic |
Física Dimensional Regularization Generalization Electron Self Energy Vacuum Polarization |
| dc.description.none.fl_txt_mv |
The Dimensional Regularization technique of Bollini and Giambiagi (BG) [Phys. Lett. B 40, 566 (1972); Il Nuovo Cim. B 12, 20 (1972); Phys. Rev. D 53, 5761 (1996)] cannot be employed for all Schwartz Tempered Distributions Explicitly Lorentz Invariant (STDELI) S′ L. We lifted such limitation in [J. Phys. Comm. 2 115029 (2018)], which opens new QFT possibilities, centering in the use of STDELI that allows one to obtain a product in a ring with zero divisors. This in turn, overcomes all problems regrading QFT in nities. We provide here three examples of the application of our STDELI-extension to quantum eld theory (A) the exact evaluation of an electron's self energy to one loop, (B) the exact evaluation of QED's vacuum polarization, and C) the λϕ4 4! theory for six dimensions, that is non-renormalizable. Instituto de Física La Plata |
| description |
The Dimensional Regularization technique of Bollini and Giambiagi (BG) [Phys. Lett. B 40, 566 (1972); Il Nuovo Cim. B 12, 20 (1972); Phys. Rev. D 53, 5761 (1996)] cannot be employed for all Schwartz Tempered Distributions Explicitly Lorentz Invariant (STDELI) S′ L. We lifted such limitation in [J. Phys. Comm. 2 115029 (2018)], which opens new QFT possibilities, centering in the use of STDELI that allows one to obtain a product in a ring with zero divisors. This in turn, overcomes all problems regrading QFT in nities. We provide here three examples of the application of our STDELI-extension to quantum eld theory (A) the exact evaluation of an electron's self energy to one loop, (B) the exact evaluation of QED's vacuum polarization, and C) the λϕ4 4! theory for six dimensions, that is non-renormalizable. |
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2020 |
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2020 |
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