RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Pis'ma v Zh. Èksper. Teoret. Fiz.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Pis'ma v Zh. Èksper. Teoret. Fiz., 2016, Volume 103, Issue 2, Pages 83–87 (Mi jetpl4836)  

This article is cited in 14 scientific papers (total in 14 papers)

FIELDS, PARTICLES, AND NUCLEI

Structure of three-loop contributions to the $\beta$-function of $\mathcal{N}=1$ SQED with $N_f$ flavors, regularized by the dimensional reduction

S. S. Aleshina, A. L. Kataevb, K. V. Stepanyantza

a Physical Faculty Lomonosov MSU, Department of Theoretical Physics, 119991 Moscow, Russia
b Institute for Nuclear Research of the RAS, 117312 Moscow, Russia

Abstract: In the case of using the higher derivative regularization for $N=1$ supersymmetric quantum electro-dynamics (SQED) with $N_f$ flavors the loop integrals giving the $\beta$-function are integrals of double total derivatives in the momentum space. This feature allows to reduce one of the loop integrals to an integral of the $\delta$-function and to derive the NSVZ relation for the renormalization group functions defined in terms of the bare coupling constant. In this paper we consider $N=1$ SQED with $N_f$ flavors regularized by the dimensional reduction in the $\overline{DR}$-scheme. Evaluating the scheme-dependent three-loop contribution to the $\beta$-function proportional to $(N_f)^2$ we find the structures analogous to integrals of the $\delta$-singularities. After adding the scheme-independent terms proportional to $(N_f)^1$ we obtain the known result for the three-loop $\beta$-function.

Funding Agency Grant Number
Russian Foundation for Basic Research 14-01-00647_
14-01-00695_
Ministry of Education and Science of the Russian Federation -2835.2014.2
The work of A.K. was supported by the RFBR grant #14-01-00647 and also by the grant for the Leading Scientific Schools NS-2835.2014.2. The work of K.S. was supported by the RFBR grant #14-01-00695.


DOI: https://doi.org/10.7868/S0370274X16020016

Full text: PDF file (137 kB)
References: PDF file   HTML file

English version:
Journal of Experimental and Theoretical Physics Letters, 2016, 103:2, 77–81

Bibliographic databases:

Document Type: Article
Received: 25.11.2015
Language: English

Citation: S. S. Aleshin, A. L. Kataev, K. V. Stepanyantz, “Structure of three-loop contributions to the $\beta$-function of $\mathcal{N}=1$ SQED with $N_f$ flavors, regularized by the dimensional reduction”, Pis'ma v Zh. Èksper. Teoret. Fiz., 103:2 (2016), 83–87; JETP Letters, 103:2 (2016), 77–81

Citation in format AMSBIB
\Bibitem{AleKatSte16}
\by S.~S.~Aleshin, A.~L.~Kataev, K.~V.~Stepanyantz
\paper Structure of three-loop contributions to the $\beta$-function of $\mathcal{N}=1$ SQED with $N_f$ flavors, regularized by the dimensional reduction
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2016
\vol 103
\issue 2
\pages 83--87
\mathnet{http://mi.mathnet.ru/jetpl4836}
\crossref{https://doi.org/10.7868/S0370274X16020016}
\elib{http://elibrary.ru/item.asp?id=26126462}
\transl
\jour JETP Letters
\yr 2016
\vol 103
\issue 2
\pages 77--81
\crossref{https://doi.org/10.1134/S0021364016020028}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000374066200001}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962920866}


Linking options:
  • http://mi.mathnet.ru/eng/jetpl4836
  • http://mi.mathnet.ru/eng/jetpl/v103/i2/p83

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    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. Stepanyantz K., “Some aspects of N = 1 SYM renormalization”, 19Th International Seminar on High Energy Physics (Quarks-2016), Epj Web of Conferences, 125, eds. Andrianov V., Matveev V., Rubakov V., Kim V., Andrianov A., Fitkevich M., E D P Sciences, 2016, UNSP 05014  crossref  isi  scopus
    2. Stepanyantz K.V., Nucl. Phys. B, 909 (2016), 316–335  crossref  mathscinet  zmath  isi  elib  scopus
    3. 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  crossref  isi  elib  scopus
    4. 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  mathnet  crossref  crossref  isi  elib
    5. S. S. Aleshin, I. O. Goriachuk, A. L. Kataev, K. V. Stepanyantz, Phys. Lett. B, 764 (2017), 222–227  crossref  zmath  isi  scopus
    6. V. Yu. Shakhmanov, K. V. Stepanyantz, “Three-Loop NSVZ Relation For Terms Quartic in the Yukawa Couplings With the Higher Covariant Derivative Regularization”, Nucl. Phys. B, 920 (2017), 345–367  crossref  mathscinet  zmath  isi  scopus
    7. I. V. Nartsev, K. V. Stepanyantz, “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  crossref  mathscinet  isi  scopus
    8. A. E. Kazantsev, M. B. Skoptsov, K. V. Stepanyantz, “One-Loop Polarization Operator of the Quantum Gauge Superfield For N=1 SYM Regularized By Higher Derivatives”, Mod. Phys. Lett. A, 32:36 (2017), 1750194  crossref  mathscinet  zmath  isi  scopus
    9. Shakhmanov V.Yu., Stepanyantz K.V., “New Form of the Nsvz Relation At the Two-Loop Level”, Phys. Lett. B, 776 (2018), 417–423  crossref  mathscinet  zmath  isi  scopus
    10. Kataev A.L., Kazantsev A.E., Stepanyantz K.V., “The Adler D-Function For N=1 SQCD Regularized By Higher Covariant Derivatives in the Three-Loop Approximation”, Nucl. Phys. B, 926 (2018), 295–320  crossref  mathscinet  zmath  isi  scopus
    11. Kazantsev A.E., Shakhmanov V.Yu., Stepanyantz K.V., “New Form of the Exact Nsvz Beta-Function: the Three-Loop Verification For Terms Containing Yukawa Couplings”, J. High Energy Phys., 2018, no. 4, 130  crossref  mathscinet  zmath  isi
    12. 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  crossref  mathscinet  isi  scopus
    13. Aleshin S.S., “Nsvz Relation and the Dimensional Reduction in N=1 Sqed”, Phys. Part. Nuclei, 49:5 (2018), 966–968  crossref  isi  scopus
    14. Stepanyantz K., Xxv International Conference on Integrable Systems and Quantum Symmetries (Isqs-25), Journal of Physics Conference Series, 965, IOP Publishing Ltd, 2018  crossref  isi  scopus
  •       Pis'ma v Zhurnal ksperimental'noi i Teoreticheskoi Fiziki
    Number of views:
    This page:104
    Full text:1
    References:16
    First page:14

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019