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.

arXiv commentContribution to the special issue of Symmetry on "Higher Order Radiative Corrections in QCD"

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Cited by in corpus (6)

• A step towards a consistent treatment of chiral theories at higher loop order: the abelian case
• Higgs boson decay into gluons in a 4D regularization: IR cancellation without evanescent fields to NLO
• Advances towards the systematization of calculations with Implicit Regularization
• Infrared Subtleties and Chiral Vertices at NLO: An Implicit Regularization Analysis
• The full Lorentz-violating vacuum polarization tensor: low and high energy limits
• Ambiguities in the generation of CFJ-terms in a QED with dimension-5 operators in one loop