Kinematically dependent renormalization

We suggest a renewed view on non-renormalizable interactions treated perturbatively within a kinematically dependent renormalization procedure. It is based on the usual BPHZ R-operation which is equally applicable to any local QFT independently whether it is renormalizable or not. The key point is t...

Full description

Bibliographic Details
Main Author: D.I. Kazakov
Format: Article
Language:English
Published: Elsevier 2018-11-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318307597
_version_ 1818548053306507264
author D.I. Kazakov
author_facet D.I. Kazakov
author_sort D.I. Kazakov
collection DOAJ
description We suggest a renewed view on non-renormalizable interactions treated perturbatively within a kinematically dependent renormalization procedure. It is based on the usual BPHZ R-operation which is equally applicable to any local QFT independently whether it is renormalizable or not. The key point is that the renormalization constant becomes the function of kinematical variables acting as an operator on the amplitude. The procedure is demonstrated by the example of D=8 supersymmetric gauge theory considered within the spinor helicity formalism. Keywords: Renormalization, UV divergences, Higher dimensional gauge theories
first_indexed 2024-12-12T08:14:49Z
format Article
id doaj.art-d9f3a8805f5d4751a609d48fd989c229
institution Directory Open Access Journal
issn 0370-2693
language English
last_indexed 2024-12-12T08:14:49Z
publishDate 2018-11-01
publisher Elsevier
record_format Article
series Physics Letters B
spelling doaj.art-d9f3a8805f5d4751a609d48fd989c2292022-12-22T00:31:38ZengElsevierPhysics Letters B0370-26932018-11-01786327331Kinematically dependent renormalizationD.I. Kazakov0Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia; Moscow Institute of Physics and Technology, Dolgoprudny, Russia; Correspondence to: Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Russia.We suggest a renewed view on non-renormalizable interactions treated perturbatively within a kinematically dependent renormalization procedure. It is based on the usual BPHZ R-operation which is equally applicable to any local QFT independently whether it is renormalizable or not. The key point is that the renormalization constant becomes the function of kinematical variables acting as an operator on the amplitude. The procedure is demonstrated by the example of D=8 supersymmetric gauge theory considered within the spinor helicity formalism. Keywords: Renormalization, UV divergences, Higher dimensional gauge theorieshttp://www.sciencedirect.com/science/article/pii/S0370269318307597
spellingShingle D.I. Kazakov
Kinematically dependent renormalization
Physics Letters B
title Kinematically dependent renormalization
title_full Kinematically dependent renormalization
title_fullStr Kinematically dependent renormalization
title_full_unstemmed Kinematically dependent renormalization
title_short Kinematically dependent renormalization
title_sort kinematically dependent renormalization
url http://www.sciencedirect.com/science/article/pii/S0370269318307597
work_keys_str_mv AT dikazakov kinematicallydependentrenormalization