A brief review of Implicit Regularization and its connection with the BPHZ theorem

Bibliographic Details
Main Author: Arias-Perdomo, Dafne Carolina
Publication Date: 2021
Other Authors: Cherchiglia, Adriano, Hiller, Brigitte, Sampaio, Marcos
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/10316/105496
https://doi.org/10.3390/sym13060956
Summary: Contribution to the special issue of Symmetry on "Higher Order Radiative Corrections in QCD"
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spelling A brief review of Implicit Regularization and its connection with the BPHZ theoremrenormalization/regularizationrenormalization group functionsBPHZ theoremContribution to the special issue of Symmetry on "Higher Order Radiative Corrections in QCD"Quantum Field Theory, as the keystone of particle physics, has allowed great insights to deciphering the core of Nature. Despite its striking success, by adhering to local interactions, Quantum Field Theory suffers from the appearance of divergent quantities in intermediary steps of the calculation, which encompasses the need for some regularization/renormalization prescription. As an alternative to traditional methods, based on the analytic extension of space-time dimension, frameworks that stay in the physical dimension have emerged, Implicit Regularization is one among them. We briefly review the method, aiming to illustrate how Implicit Regularization complies with the BPHZ theorem, which implies that it respects unitarity and locality to arbitrary loop order.This publication is based upon work from COST Action CA16201 PARTICLEFACE, supported by COST (European Cooperation in Science and Technology, www.cost.eu). M.S. acknowledges a research grant from CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico— 303482/2017-6). We acknowledge support from Fundação para a Ciência e Tecnologia (FCT) through the projects UID/FIS/04564/2020 and CERN/FIS-COM/0035/2019, and the networking support by the COST Action CA16201. This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES)—Finance Code 001.MDPI2021-05-17info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttps://hdl.handle.net/10316/105496https://hdl.handle.net/10316/105496https://doi.org/10.3390/sym13060956eng2073-8994http://arxiv.org/abs/2105.08085v1Arias-Perdomo, Dafne CarolinaCherchiglia, AdrianoHiller, BrigitteSampaio, Marcosinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-09-30T09:37:24Zoai:estudogeral.uc.pt:10316/105496Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T05:55:57.866798Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv A brief review of Implicit Regularization and its connection with the BPHZ theorem
title A brief review of Implicit Regularization and its connection with the BPHZ theorem
spellingShingle A brief review of Implicit Regularization and its connection with the BPHZ theorem
Arias-Perdomo, Dafne Carolina
renormalization/regularization
renormalization group functions
BPHZ theorem
title_short A brief review of Implicit Regularization and its connection with the BPHZ theorem
title_full A brief review of Implicit Regularization and its connection with the BPHZ theorem
title_fullStr A brief review of Implicit Regularization and its connection with the BPHZ theorem
title_full_unstemmed A brief review of Implicit Regularization and its connection with the BPHZ theorem
title_sort A brief review of Implicit Regularization and its connection with the BPHZ theorem
author Arias-Perdomo, Dafne Carolina
author_facet Arias-Perdomo, Dafne Carolina
Cherchiglia, Adriano
Hiller, Brigitte
Sampaio, Marcos
author_role author
author2 Cherchiglia, Adriano
Hiller, Brigitte
Sampaio, Marcos
author2_role author
author
author
dc.contributor.author.fl_str_mv Arias-Perdomo, Dafne Carolina
Cherchiglia, Adriano
Hiller, Brigitte
Sampaio, Marcos
dc.subject.por.fl_str_mv renormalization/regularization
renormalization group functions
BPHZ theorem
topic renormalization/regularization
renormalization group functions
BPHZ theorem
description Contribution to the special issue of Symmetry on "Higher Order Radiative Corrections in QCD"
publishDate 2021
dc.date.none.fl_str_mv 2021-05-17
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/10316/105496
https://hdl.handle.net/10316/105496
https://doi.org/10.3390/sym13060956
url https://hdl.handle.net/10316/105496
https://doi.org/10.3390/sym13060956
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2073-8994
http://arxiv.org/abs/2105.08085v1
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833602521597214720

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