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
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/119302

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spelling 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:UNLP2025-09-29T11:28:09Zoai: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:13292025-09-29 11:28:09.848SEDICI (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.
publishDate 2020
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Creative Commons Attribution 4.0 International (CC BY 4.0)
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