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 Tr. Mat. Inst. Steklova, 2011, Volume 272, Pages 266–276 (Mi tm3264)

Higher covariant derivative regularization for calculations in supersymmetric theories

K. V. Stepanyantz

Department of Theoretical Physics, Faculty of Physics, Moscow State University, Moscow, Russia

Abstract: A variant of the higher covariant derivative regularization is used for calculation of a two-loop $\beta$-function for the general renormalizable $N=1$ supersymmetric theory. It is shown that the $\beta$-function is given by integrals of total derivatives. Partially this can be explained by substituting solutions of Slavnov–Taylor identities into the Schwinger–Dyson equations.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2011, 272, 256–265

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Citation: K. V. Stepanyantz, “Higher covariant derivative regularization for calculations in supersymmetric theories”, Problems of modern theoretical and mathematical physics: Gauge theories and superstrings, Collected papers. Dedicated to Academician Andrei Alekseevich Slavnov on the occasion of his 70th birthday, Tr. Mat. Inst. Steklova, 272, MAIK Nauka/Interperiodica, Moscow, 2011, 266–276; Proc. Steklov Inst. Math., 272 (2011), 256–265

Citation in format AMSBIB
\Bibitem{Ste11} \by K.~V.~Stepanyantz \paper Higher covariant derivative regularization for calculations in supersymmetric theories \inbook Problems of modern theoretical and mathematical physics: Gauge theories and superstrings \bookinfo Collected papers. Dedicated to Academician Andrei Alekseevich Slavnov on the occasion of his 70th birthday \serial Tr. Mat. Inst. Steklova \yr 2011 \vol 272 \pages 266--276 \publ MAIK Nauka/Interperiodica \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm3264} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2838856} \zmath{https://zbmath.org/?q=an:1227.81224} \elib{http://elibrary.ru/item.asp?id=15639270} \transl \jour Proc. Steklov Inst. Math. \yr 2011 \vol 272 \pages 256--265 \crossref{https://doi.org/10.1134/S008154381101024X} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000290170500024} \elib{http://elibrary.ru/item.asp?id=16991916} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79955732872} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Aleshin S.S., Kazantsev A.E., Skoptsov M.B., Stepanyantz K.V., “One-loop divergences in non-Abelian supersymmetric theories regularized by BRST-invariant version of the higher derivative regularization”, J. High Energy Phys., 2016, no. 5, 014
2. I. V. Nartsev, K. V. Stepanyantz, “NSVZ-like scheme for the photino mass in softly broken $N=1$ SQED regularized by higher derivatives”, JETP Letters, 105:2 (2017), 69–73
3. Nartsev I.V., Stepanyantz K.V., “Exact renormalization of the photino mass in softly broken $\mathcal{N}=1$ SQED with $N_f$ flavors regularized by higher derivatives”, J. High Energy Phys., 2017, no. 4, 047
4. Shakhmanov V.Yu., Stepanyantz K.V., “New Form of the Nsvz Relation At the Two-Loop Level”, Phys. Lett. B, 776 (2018), 417–423
5. Kazantsev A.E., Kuzmichev M.D., Meshcheriakov N.P., Novgorodtsev S.V., Shirokov I.E., Skoptsov M.B., Stepanyantz K.V., “Two-Loop Renormalization of the Faddeev-Popov Ghosts in N=1 Supersymmetric Gauge Theories Regularized By Higher Derivatives”, J. High Energy Phys., 2018, no. 6, 020
6. Aleshin S.S., Kataev A.L., Stepanyantz K.V., “The Three-Loop Adler D-Function For N=1 Sqcd Regularized By Dimensional Reduction”, J. High Energy Phys., 2019, no. 3, 196
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