Some aspects of N = 1 SYM renormalization

Some aspects of N = 1 SYM renormalization

Using the BRST invariant version of the higher covariant derivative regularization, we demonstrate that in N = 1 supersymmetric gauge theories the three-point vertices with two ghost legs and a single leg of the quantum gauge superfield are finite in all orders. This theorem is proved by the help of...

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Main Author: Stepanyantz Konstantin
Format: Article
Language:English
Published: EDP Sciences 2016-01-01
Series:EPJ Web of Conferences
Online Access:http://dx.doi.org/10.1051/epjconf/201612505014
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spelling doaj-211e5cd4d89d44469b33ad762975241c2021-08-02T11:07:48ZengEDP SciencesEPJ Web of Conferences2100-014X2016-01-011250501410.1051/epjconf/201612505014epjconf_quark2016_05014Some aspects of N = 1 SYM renormalizationStepanyantz Konstantin0Moscow State University, Physical Faculty, Department of Theoretical PhysicsUsing the BRST invariant version of the higher covariant derivative regularization, we demonstrate that in N = 1 supersymmetric gauge theories the three-point vertices with two ghost legs and a single leg of the quantum gauge superfield are finite in all orders. This theorem is proved by the help of the Slavnov–Taylor identities and the supergraph technique. Its correctness is verified by explicit one-loop calculation. Using finiteness of the considered vertices we express the NSVZ relation in terms of the anomalous dimensions of the gauge superfield, of the Faddeev–Popov ghosts, and of the matter superfields.http://dx.doi.org/10.1051/epjconf/201612505014
collection DOAJ
language English
format Article
sources DOAJ
author Stepanyantz Konstantin
spellingShingle Stepanyantz Konstantin
Some aspects of N = 1 SYM renormalization
EPJ Web of Conferences
author_facet Stepanyantz Konstantin
author_sort Stepanyantz Konstantin
title Some aspects of N = 1 SYM renormalization
title_short Some aspects of N = 1 SYM renormalization
title_full Some aspects of N = 1 SYM renormalization
title_fullStr Some aspects of N = 1 SYM renormalization
title_full_unstemmed Some aspects of N = 1 SYM renormalization
title_sort some aspects of n = 1 sym renormalization
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2016-01-01
description Using the BRST invariant version of the higher covariant derivative regularization, we demonstrate that in N = 1 supersymmetric gauge theories the three-point vertices with two ghost legs and a single leg of the quantum gauge superfield are finite in all orders. This theorem is proved by the help of the Slavnov–Taylor identities and the supergraph technique. Its correctness is verified by explicit one-loop calculation. Using finiteness of the considered vertices we express the NSVZ relation in terms of the anomalous dimensions of the gauge superfield, of the Faddeev–Popov ghosts, and of the matter superfields.
url http://dx.doi.org/10.1051/epjconf/201612505014
work_keys_str_mv AT stepanyantzkonstantin someaspectsofn1symrenormalization
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