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

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,...

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Bibliographic Details
Published in:arXiv.org 2021-05
Main Authors: Arias-Perdomo, Dafne Carolina, Cherchiglia, Adriano, Hiller, Brigitte, Sampaio, Marcos
Format: Article
Language:English
Subjects:
Field theory
Particle physics
Quantum field theory
Quantum theory
Regularization
Theorems
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2105.08085