{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,16]],"date-time":"2026-01-16T11:10:47Z","timestamp":1768561847795,"version":"3.49.0"},"reference-count":42,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2021,5,27]],"date-time":"2021-05-27T00:00:00Z","timestamp":1622073600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UID\/FIS\/04564\/2020"],"award-info":[{"award-number":["UID\/FIS\/04564\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["CERN\/FIS-COM\/0035\/2019"],"award-info":[{"award-number":["CERN\/FIS-COM\/0035\/2019"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["303482\/2017-6"],"award-info":[{"award-number":["303482\/2017-6"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","award":["0001"],"award-info":[{"award-number":["0001"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Quantum Field Theory, as the keystone of particle physics, has offered great insights into 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\u2013time 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. We also pedagogically discuss how the method complies with gauge symmetry using one- and two-loop examples in QED and QCD.<\/jats:p>","DOI":"10.3390\/sym13060956","type":"journal-article","created":{"date-parts":[[2021,5,27]],"date-time":"2021-05-27T23:16:46Z","timestamp":1622157406000},"page":"956","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["A Brief Review of Implicit Regularization and Its Connection with the BPHZ Theorem"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8690-8751","authenticated-orcid":false,"given":"Dafne Carolina","family":"Arias-Perdomo","sequence":"first","affiliation":[{"name":"CCNH Centro de Ci\u00eancias Naturais e Humanas, Universidade Federal do ABC, Santo Andr\u00e9 09210-580, SP, Brazil"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2457-1671","authenticated-orcid":false,"given":"Adriano","family":"Cherchiglia","sequence":"additional","affiliation":[{"name":"CCNH Centro de Ci\u00eancias Naturais e Humanas, Universidade Federal do ABC, Santo Andr\u00e9 09210-580, SP, Brazil"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2622-8789","authenticated-orcid":false,"given":"Brigitte","family":"Hiller","sequence":"additional","affiliation":[{"name":"CFisUC, Department of Physics, University of Coimbra, P-3004-516 Coimbra, Portugal"}]},{"given":"Marcos","family":"Sampaio","sequence":"additional","affiliation":[{"name":"CCNH Centro de Ci\u00eancias Naturais e Humanas, Universidade Federal do ABC, Santo Andr\u00e9 09210-580, SP, Brazil"}]}],"member":"1968","published-online":{"date-parts":[[2021,5,27]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1016\/0550-3213(92)90240-C","article-title":"Differential regularisation and renormalisation: A New method of calculation in quantum field theory","volume":"371","author":"Freedman","year":"1992","journal-title":"Nucl. 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