Useful model to understand Schwartz’ distributions’ approach to non-renormalizable QFTs

Quantum Field Theory (QFT) is a difficult subject, plagued by puzzling infinities. Its most formidable challenge is the existence of many non-renormalizable QFT theories, for which the number of infinities is itself infinite. We will here appeal to a rather non-conventional QFT approach developed in...

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Autores principales: Rocca, Mario Carlos, Plastino, Ángel Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 2021
Materias:
Física
Matemática
Schwartz’ distributions approach to QFT
Dimensional regularization
Lorentz invariant distributions
Convolution of Schwartz’ distributions
Non-renormalizable quantum feld theories
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/139203
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-139203
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Matemática
Schwartz’ distributions approach to QFT
Dimensional regularization
Lorentz invariant distributions
Convolution of Schwartz’ distributions
Non-renormalizable quantum feld theories
spellingShingle Física
Matemática
Schwartz’ distributions approach to QFT
Dimensional regularization
Lorentz invariant distributions
Convolution of Schwartz’ distributions
Non-renormalizable quantum feld theories
Rocca, Mario Carlos
Plastino, Ángel Luis
Useful model to understand Schwartz’ distributions’ approach to non-renormalizable QFTs
topic_facet Física
Matemática
Schwartz’ distributions approach to QFT
Dimensional regularization
Lorentz invariant distributions
Convolution of Schwartz’ distributions
Non-renormalizable quantum feld theories
description Quantum Field Theory (QFT) is a difficult subject, plagued by puzzling infinities. Its most formidable challenge is the existence of many non-renormalizable QFT theories, for which the number of infinities is itself infinite. We will here appeal to a rather non-conventional QFT approach developed in [J. of Phys. Comm. 2 115029 (2018)] that uses Schwartz’ distribution theory (SDT). This technique avoids the need for counterterms. In the SDT approach to QFT, infinities arise due to the presence of products of distributions with coincident point singularities. In the present study, we will carefully discuss a simple QFT-model devised by Bollini and Giambiagi. Because of its simplicity, it makes easy to appreciate just how it is possible to successfully deal with the issue of non-renormalizability via SDT.
format Articulo
Articulo
author Rocca, Mario Carlos
Plastino, Ángel Luis
author_facet Rocca, Mario Carlos
Plastino, Ángel Luis
author_sort Rocca, Mario Carlos
title Useful model to understand Schwartz’ distributions’ approach to non-renormalizable QFTs
title_short Useful model to understand Schwartz’ distributions’ approach to non-renormalizable QFTs
title_full Useful model to understand Schwartz’ distributions’ approach to non-renormalizable QFTs
title_fullStr Useful model to understand Schwartz’ distributions’ approach to non-renormalizable QFTs
title_full_unstemmed Useful model to understand Schwartz’ distributions’ approach to non-renormalizable QFTs
title_sort useful model to understand schwartz’ distributions’ approach to non-renormalizable qfts
publishDate 2021
url http://sedici.unlp.edu.ar/handle/10915/139203
work_keys_str_mv AT roccamariocarlos usefulmodeltounderstandschwartzdistributionsapproachtononrenormalizableqfts
AT plastinoangelluis usefulmodeltounderstandschwartzdistributionsapproachtononrenormalizableqfts
bdutipo_str Repositorios
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