Title
A Brief Review Of Implicit Regularization And Its Connection With The Bphz Theorem
Abstract
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-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. We also pedagogically discuss how the method complies with gauge symmetry using one- and two-loop examples in QED and QCD.
Year
DOI
Venue
2021
10.3390/sym13060956
SYMMETRY-BASEL
Keywords
DocType
Volume
renormalization, regularization, renormalization group functions, BPHZ theorem
Journal
13
Issue
Citations 
PageRank 
6
0
0.34
References 
Authors
0
4