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...

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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
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spelling doaj-d9f3a8805f5d4751a609d48fd989c2292020-11-24T23:03:49ZengElsevierPhysics 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
collection DOAJ
language English
format Article
sources DOAJ
author D.I. Kazakov
spellingShingle D.I. Kazakov
Kinematically dependent renormalization
Physics Letters B
author_facet D.I. Kazakov
author_sort D.I. Kazakov
title Kinematically dependent renormalization
title_short Kinematically dependent renormalization
title_full Kinematically dependent renormalization
title_fullStr Kinematically dependent renormalization
title_full_unstemmed Kinematically dependent renormalization
title_sort kinematically dependent renormalization
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2018-11-01
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
url http://www.sciencedirect.com/science/article/pii/S0370269318307597
work_keys_str_mv AT dikazakov kinematicallydependentrenormalization
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