Interesting QFT Problems Tackled in New Fashion

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. P...

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Autores principales: Plastino, Ángel Luis, Rocca, Mario Carlos
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
Materias:
Física
Dimensional Regularization Generalization
Electron Self Energy
Vacuum Polarization
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/119302
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-119302
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Dimensional Regularization Generalization
Electron Self Energy
Vacuum Polarization
spellingShingle Física
Dimensional Regularization Generalization
Electron Self Energy
Vacuum Polarization
Plastino, Ángel Luis
Rocca, Mario Carlos
Interesting QFT Problems Tackled in New Fashion
topic_facet Física
Dimensional Regularization Generalization
Electron Self Energy
Vacuum Polarization
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.
format Articulo
Articulo
author Plastino, Ángel Luis
Rocca, Mario Carlos
author_facet Plastino, Ángel Luis
Rocca, Mario Carlos
author_sort Plastino, Ángel Luis
title Interesting QFT Problems Tackled in New Fashion
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
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/119302
work_keys_str_mv AT plastinoangelluis interestingqftproblemstackledinnewfashion
AT roccamariocarlos interestingqftproblemstackledinnewfashion
bdutipo_str Repositorios
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