A brief review of Implicit Regularization and its connection with the BPHZ theorem
Abstract
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.
Cite
@article{arxiv.2105.08085,
title = {A brief review of Implicit Regularization and its connection with the BPHZ theorem},
author = {Dafne Carolina Arias-Perdomo and Adriano Cherchiglia and Brigitte Hiller and Marcos Sampaio},
journal= {arXiv preprint arXiv:2105.08085},
year = {2021}
}
Comments
Contribution to the special issue of Symmetry on "Higher Order Radiative Corrections in QCD"