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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 135, Number 2, Pages 265–279
DOI: https://doi.org/10.4213/tmf189
(Mi tmf189)
 

This article is cited in 25 scientific papers (total in 25 papers)

Universal Invariant Renormalization for Supersymmetric Theories

A. A. Slavnova, K. V. Stepanyantzb

a Steklov Mathematical Institute, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University
References:
Abstract: We propose a universal gauge-invariant renormalization scheme for supersymmetric theories. We apply this scheme to the supersymmetric quantum electrodynamics.
Keywords: regularization, supersymmetry, renormalization, counterterms.
Received: 01.08.2002
English version:
Theoretical and Mathematical Physics, 2003, Volume 135, Issue 2, Pages 673–684
DOI: https://doi.org/10.1023/A:1023622616220
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Slavnov, K. V. Stepanyantz, “Universal Invariant Renormalization for Supersymmetric Theories”, TMF, 135:2 (2003), 265–279; Theoret. and Math. Phys., 135:2 (2003), 673–684
Citation in format AMSBIB
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\paper Universal Invariant Renormalization for Supersymmetric Theories
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\jour Theoret. and Math. Phys.
\yr 2003
\vol 135
\issue 2
\pages 673--684
\crossref{https://doi.org/10.1023/A:1023622616220}
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Linking options:
  • https://www.mathnet.ru/eng/tmf189
  • https://doi.org/10.4213/tmf189
  • https://www.mathnet.ru/eng/tmf/v135/i2/p265
  • This publication is cited in the following 25 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. 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
    4. 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
    5. Stepanyantz K.V., Nucl. Phys. B, 909 (2016), 316–335  crossref  mathscinet  zmath  isi  elib  scopus
    6. 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
    7. 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
    8. M. A. Vasiliev, P. A. Smirnov, “Gauge-noninvariant higher-spin currents in four-dimensional Minkowski space”, Theoret. and Math. Phys., 181:3 (2014), 1509–1521  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    9. 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
    10. 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
    11. 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
    12. 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
    13. 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
    14. 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
    15. 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
    16. 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
    17. 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
    18. 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
    19. 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
    20. 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
    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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