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TMF, 1978, Volume 36, Number 3, Pages 291–302 (Mi tmf3081)  

This article is cited in 32 scientific papers (total in 32 papers)

Invariant regularization for supersymmetric gauge theories

V. K. Krivoshchekov

Abstract: For supersymmetric gauge theories, an invariant procedure of intermediate regularization is constructed. It is a supersymmetric generalization of the method of higher covariant derivatives augmented by a special invariant procedure for regularizing single-loop superdiagrams.

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English version:
Theoretical and Mathematical Physics, 1978, 36:3, 745–752

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Received: 24.11.1977

Citation: V. K. Krivoshchekov, “Invariant regularization for supersymmetric gauge theories”, TMF, 36:3 (1978), 291–302; Theoret. and Math. Phys., 36:3 (1978), 745–752

Citation in format AMSBIB
\by V.~K.~Krivoshchekov
\paper Invariant regularization for supersymmetric gauge theories
\jour TMF
\yr 1978
\vol 36
\issue 3
\pages 291--302
\jour Theoret. and Math. Phys.
\yr 1978
\vol 36
\issue 3
\pages 745--752

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    This publication is cited in the following articles:
    1. S. N. Sokolov, “Modifications of forms of relativistic dynamics related to the Pomcare transformations”, Theoret. and Math. Phys., 54:3 (1983), 224–234  mathnet  crossref  mathscinet  isi
    2. V. K. Krivoshchekov, P. B. Medvedev, L. O. Chekhov, “Explicit form of non-Abelian self-consistent chiral supersymmetric anomaly”, Theoret. and Math. Phys., 68:2 (1986), 796–801  mathnet  crossref  mathscinet  isi
    3. Gorazd Cvetic, Igor Kondrashuk, Ivan Schmidt, “On the Effective Action of Dressed Mean Fields for $\mathcal N=4$ Super-Yang–Mills Theory”, SIGMA, 2 (2006), 002, 8 pp.  mathnet  crossref  mathscinet  zmath
    4. Cvetic, G, “Effective action of dressed mean fields for N=4 super-Yang-Mills theory”, Modern Physics Letters A, 21:14 (2006), 1127  crossref  adsnasa  isi
    5. Pimenov A.B., Shevtsova E.S., Stepanyantz K.V., “Calculation of two-loop beta-function for general N=1 supersymmetric Yang-Mills theory with the higher covariant derivative regularization”, Physics Letters B, 686:4–5 (2010), 293–297  crossref  isi
    6. K. V. Stepanyantz, “Higher covariant derivative regularization for calculations in supersymmetric theories”, Proc. Steklov Inst. Math., 272 (2011), 256–265  mathnet  crossref  mathscinet  zmath  isi
    7. Stepanyantz K.V., “Derivation of the exact NSVZ beta-function in N=1 SQED, regularized by higher derivatives, by direct summation of Feynman diagrams”, Nuclear Phys B, 852:1 (2011), 71–107  crossref  isi
    8. Garkusha A.V., Kataev A.L., “The absence of QCD beta-function factorization property of the generalized Crewther relation in the 't Hooft (MS)over-bar-based scheme”, Phys Lett B, 705:4 (2011), 400–404  crossref  isi
    9. Stepanyantz K.V., “Factorization of Integrals Defining the beta-Function into Integrals of Total Derivatives in N=1 SQED, Regularized by Higher Derivatives”, Internat J Theoret Phys, 51:1 (2012), 276–291  crossref  isi
    10. Stepanyantz K.V., “Multiloop Calculations in Supersymmetric Theories with the Higher Covariant Derivative Regularization”, 14th International Workshop on Advanced Computing and Analysis Techniques in Physics Research (Acat 2011), Journal of Physics Conference Series, 368, ed. Teodorescu L., IOP Publishing Ltd, 2012, 012052  crossref  isi
    11. Stepanyantz K.V., “Derivation of the Exact Nsvz Beta-Function in N=1 Sqed Regularized by Higher Derivatives by Summation of Feynman Diagrams”, 7th International Conference on Quantum Theory and Symmetries (Qts7), Journal of Physics Conference Series, 343, IOP Publishing Ltd, 2012, 012115  crossref  isi
    12. Kataev A.L., Stepanyantz K.V., “Nsvz Scheme with the Higher Derivative Regularization for N=1 Sqed”, Nucl. Phys. B, 875:2 (2013), 459–482  crossref  isi
    13. A. L. Kataev, K. V. Stepanyantz, “The NSVZ $\beta$-function in supersymmetric theories with different regularizations and renormalization prescriptions”, Theoret. and Math. Phys., 181:3 (2014), 1531–1540  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    14. Stepanyantz K.V., “The Nsvz Beta-Function and the Schwinger-Dyson Equations For N=1 Sqed With N-F Flavors, Regularized By Higher Derivatives”, J. High Energy Phys., 2014, no. 8, 096  crossref  isi
    15. Buchbinder I.L. Stepanyantz K.V., “The Higher Derivative Regularization and Quantum Corrections in N=2 Supersymmetric Theories”, Nucl. Phys. B, 883 (2014), 20–44  crossref  isi
    16. Kataev A.L., Stepanyantz K.V., “Scheme Independent Consequence of the Nsvz Relation For N=1 Sqed With N-F Flavors”, Phys. Lett. B, 730 (2014), 184–189  crossref  isi
    17. Shifman M. Stepanyantz K., “Exact Adler Function in Supersymmetric QCD”, Phys. Rev. Lett., 114:5 (2015), 051601  crossref  isi
    18. Buchbinder I.L. Pletnev N.G. Stepanyantz K.V., “Manifestly N=2 Supersymmetric Regularization For N=2 Supersymmetric Field Theories”, Phys. Lett. B, 751 (2015), 434–441  crossref  isi
    19. JETP Letters, 103:2 (2016), 77–81  mathnet  crossref  crossref  isi  elib
    20. Stepanyantz K.V., Nucl. Phys. B, 909 (2016), 316–335  crossref  mathscinet  zmath  isi  elib  scopus
    21. Moshin P.Yu., Reshetnyak A.A., “Finite field-dependent BRST?anti-BRST transformations: Jacobians and application to the Standard Model”, Int. J. Mod. Phys. A, 31:20-21 (2016), 1650111  crossref  mathscinet  zmath  isi  elib  scopus
    22. 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  mathscinet  isi  elib  scopus
    23. 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
    24. Aleshin S.S. Goriachuk I.O. Kataev A.L. Stepanyantz K.V., Phys. Lett. B, 764 (2017), 222–227  crossref  mathscinet  isi  scopus
    25. Shakhmanov V.Yu. Stepanyantz K.V., “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  isi
    26. 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  crossref  isi
    27. 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  isi
    28. 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  isi
    29. 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  isi
    30. 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  isi
    31. 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
    32. Goriachuk I.O. Kataev A.L. Stepanyantz V K., “A Class of the Nsvz Renormalization Schemes For N=1 Sqed”, Phys. Lett. B, 785 (2018), 561–566  crossref  mathscinet  zmath  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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