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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 139, Number 2, Pages 179–191
DOI: https://doi.org/10.4213/tmf57
(Mi tmf57)
 

This article is cited in 26 scientific papers (total in 26 papers)

Universal Invariant Renormalization for the Supersymmetric Yang–Mills Theory

A. A. Slavnovab, K. V. Stepanyantza

a M. V. Lomonosov Moscow State University
b Steklov Mathematical Institute, Russian Academy of Sciences
References:
Abstract: We propose a manifestly invariant renormalization scheme for N=1 non-Abelian supersymmetric gauge theories.
Keywords: regularization, supersymmetry, renormalization, counterterms.
Received: 16.05.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 139, Issue 2, Pages 599–608
DOI: https://doi.org/10.1023/B:TAMP.0000026178.67671.6a
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Slavnov, K. V. Stepanyantz, “Universal Invariant Renormalization for the Supersymmetric Yang–Mills Theory”, TMF, 139:2 (2004), 179–191; Theoret. and Math. Phys., 139:2 (2004), 599–608
Citation in format AMSBIB
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\transl
\jour Theoret. and Math. Phys.
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\pages 599--608
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Linking options:
  • https://www.mathnet.ru/eng/tmf57
  • https://doi.org/10.4213/tmf57
  • https://www.mathnet.ru/eng/tmf/v139/i2/p179
  • This publication is cited in the following 26 articles:
    1. Igor Kondrashuk, Ivan Schmidt, “Finiteness of N=4 Super-Yang–Mills Effective Action in Terms of Dressed N=1 Superfields”, Particles, 6:4 (2023), 993  crossref
    2. K. V. Stepanyantz, “The Higher Covariant Derivative Regularization as a Tool for Revealing the Structure of Quantum Corrections in Supersymmetric Gauge Theories”, Proc. Steklov Inst. Math., 309 (2020), 284–298  mathnet  crossref  crossref  mathscinet  isi  elib
    3. Buchbinder I. Ivanov E. Merzlikin B. Stepanyantz K., “Harmonic Superspace Approach to the Effective Action in Six-Dimensional Supersymmetric Gauge Theories”, Symmetry-Basel, 11:1 (2019), 68  crossref  mathscinet  isi  scopus
    4. Kuzmichev M.D. Meshcheriakov N.P. Novgorodtsev V S. Shirokov I.E. Stepanyantz V K., “Three-Loop Contribution of the Faddeev-Popov Ghosts to the Beta-Function of N=1 Supersymmetric Gauge Theories and the Nsvz Relation”, Eur. Phys. J. C, 79:9 (2019), 809  crossref  isi
    5. 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
    6. 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
    7. 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
    8. Stepanyantz K.V., Nucl. Phys. B, 909 (2016), 316–335  crossref  mathscinet  zmath  isi  elib  scopus
    9. 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
    10. A. L. Kataev, K. V. Stepanyantz, “The NSVZ β-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
    11. 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
    12. 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
    13. A.B. Pimenov, E.S. Shevtsova, K.V. Stepanyantz, “Calculation of two-loop β-function for general N=1 supersymmetric Yang–Mills theory with the higher covariant derivative regularization”, Physics Letters B, 686:4-5 (2010), 293  crossref
    14. 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
    15. 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  crossref  adsnasa  isi
    16. 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
    17. 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
    18. 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
    19. 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
    20. Cvetic G, Kondrashuk I, Schmidt I, “Effective action of dressed mean fields for N=4 super-Yang-Mills theory”, Modern Physics Letters A, 21:14 (2006), 1127–1135  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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