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TMF, 2004, Volume 140, Number 3, Pages 437–459 (Mi tmf106)  

This article is cited in 40 scientific papers (total in 40 papers)

Three-Loop $\beta$-Function of $N=1$ Supersymmetric Electrodynamics Regularized by Higher Derivatives

A. A. Soloshenko, K. V. Stepanyantz

M. V. Lomonosov Moscow State University

Abstract: We calculate three-loop corrections to the effective action for $N=1$ supersymmetric electrodynamics regularized by higher derivatives. Using the obtained results, we investigate the anomaly problem in the considered model.

Keywords: supersymmetry, regularization, higher covariant derivatives, dimensional reduction

DOI: https://doi.org/10.4213/tmf106

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English version:
Theoretical and Mathematical Physics, 2004, 140:3, 1264–1282

Bibliographic databases:

Received: 22.10.2003
Revised: 12.01.2004

Citation: A. A. Soloshenko, K. V. Stepanyantz, “Three-Loop $\beta$-Function of $N=1$ Supersymmetric Electrodynamics Regularized by Higher Derivatives”, TMF, 140:3 (2004), 437–459; Theoret. and Math. Phys., 140:3 (2004), 1264–1282

Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
\yr 2004
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\pages 1264--1282
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. K. V. Stepanyantz, “Investigating the anomaly puzzle in $N=1$ supersymmetric electrodynamics”, Theoret. and Math. Phys., 142:1 (2005), 29–47  mathnet  crossref  crossref  adsnasa  isi  elib
    2. A. B. Pimenov, K. V. Stepanyantz, “Four-loop verification of an algorithm for summing Feynman diagrams in the $N{=}1$ supersymmetric electrodynamics”, Theoret. and Math. Phys., 147:2 (2006), 687–697  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    3. K. V. Stepanyantz, “Summation of diagrams in $N=1$ supersymmetric electrodynamics regularized by higher derivatives”, Theoret. and Math. Phys., 146:3 (2006), 321–334  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    4. K. V. Stepanyantz, “Contribution of matter fields to the Gell-Mann–Low function for the $N=1$ supersymmetric Yang–Mills theory regularized by higher covariant derivatives”, Theoret. and Math. Phys., 150:3 (2007), 377–392  mathnet  crossref  crossref  zmath  adsnasa  isi  elib
    5. A. B. Pimenov, K. V. Stepanyantz, “Two-loop Gell-Mann–Low function of the $N=1$ supersymmetric Yang–Mills theory regularized by higher covariant derivatives”, Theoret. and Math. Phys., 155:3 (2008), 848–861  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    6. A. B. Pimenov, K. V. Stepanyantz, “Verifying a new identity for Green's functions of the $N=1$ supersymmetric non-Abelian Yang–Mills theory with matter fields”, Theoret. and Math. Phys., 156:2 (2008), 1199–1208  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    7. Soloshenko AA, Stepan'yants KV, “Schwinger-Dyson Equations for N=1 Supersymmetric Yang-Mills Theory”, Moscow University Physics Bulletin, 63:3 (2008), 189–192  crossref  adsnasa  isi
    8. Pimenov, AB, “REGULARIZATION BY HIGHER DERIVATIVES AND QUANTUM CORRECTION FOR N=1 SUPERSYMMETRIC THEORIES”, Russian Physics Journal, 51:5 (2008), 444  crossref  mathscinet  zmath  adsnasa  isi  elib
    9. Stepanyantz, KV, “Toward proving a new identity for Green's functions in N=1 supersymmetric electrodynamics”, Physics of Atomic Nuclei, 72:1 (2009), 105  crossref  adsnasa  isi  scopus  scopus
    10. Shevtsova, ES, “Structure of the two-point green function of the gauge field for N=1 supersymmetric Yang-Mills theory regularized by higher covariant derivatives”, Moscow University Physics Bulletin, 64:5 (2009), 485  crossref  zmath  isi  elib  scopus  scopus
    11. Stepanyantz, KV, “A new relation restricting the Green functions of N=1 supersymmetric electrodynamics”, Moscow University Physics Bulletin, 64:3 (2009), 250  crossref  adsnasa  isi  elib  scopus  scopus
    12. Stepanyantz K., “Application of Higher Derivative Regularization To Calculation of Quantum Corrections in N=1 Supersymmetric Theories”, Particle Physics on the Eve of Lhc, 2009, 390–393  adsnasa  isi
    13. 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  mathscinet  adsnasa  isi  elib  scopus  scopus
    14. 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  elib  elib
    15. 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  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    16. 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  zmath  adsnasa  isi  elib  scopus  scopus
    17. 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  scopus  scopus
    18. 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  scopus  scopus
    19. 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  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    20. 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
    21. 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  scopus  scopus
    22. 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  mathscinet  zmath  adsnasa  isi  scopus  scopus
    23. 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  zmath  adsnasa  isi  scopus  scopus
    24. Shifman M. Stepanyantz K., “Exact Adler Function in Supersymmetric QCD”, Phys. Rev. Lett., 114:5 (2015), 051601  crossref  adsnasa  isi  scopus  scopus
    25. 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  adsnasa  isi  elib  scopus  scopus
    26. JETP Letters, 103:2 (2016), 77–81  mathnet  crossref  crossref  isi  elib
    27. Stepanyantz K.V., Nucl. Phys. B, 909 (2016), 316–335  crossref  mathscinet  zmath  isi  elib  scopus
    28. 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
    29. 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
    30. Aleshin S.S. Goriachuk I.O. Kataev A.L. Stepanyantz K.V., Phys. Lett. B, 764 (2017), 222–227  crossref  zmath  isi  scopus
    31. 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  mathscinet  zmath  isi  scopus  scopus
    32. 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  mathscinet  isi  scopus  scopus
    33. 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  scopus
    34. 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  scopus
    35. 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
    36. 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  scopus
    37. Aleshin S.S., “Nsvz Relation and the Dimensional Reduction in N=1 Sqed”, Phys. Part. Nuclei, 49:5 (2018), 966–968  crossref  isi  scopus
    38. 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
    39. 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  crossref  isi  scopus
    40. Kataev A.L. Kazantsev A.E. Stepanyantz K.V., “On-Shell Renormalization Scheme For N=1 Sqed and the Nsvz Relation”, Eur. Phys. J. C, 79:6 (2019), 477  crossref  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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