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TMF, 2005, Volume 142, Number 1, Pages 37–57 (Mi tmf1767)  

This article is cited in 17 scientific papers (total in 17 papers)

Investigating the anomaly puzzle in $N=1$ supersymmetric electrodynamics

K. V. Stepanyantz

M. V. Lomonosov Moscow State University

Abstract: Using Schwinger–Dyson equations and Ward identities in the $N=1$ supersymmetric electrodynamics regularized by higher derivatives, we find that we can calculate some contributions to the two-point Greens function of the gauge field and to the $\beta$-function exactly in all orders of the perturbation theory. We use the results to investigate the anomaly puzzle in the considered theory.

Keywords: supersymmetry, regularization, higher covariant derivative, anomaly puzzle

DOI: https://doi.org/10.4213/tmf1767

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English version:
Theoretical and Mathematical Physics, 2005, 142:1, 29–47

Bibliographic databases:

Received: 24.05.2004

Citation: K. V. Stepanyantz, “Investigating the anomaly puzzle in $N=1$ supersymmetric electrodynamics”, TMF, 142:1 (2005), 37–57; Theoret. and Math. Phys., 142:1 (2005), 29–47

Citation in format AMSBIB
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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. 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
    2. 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
    3. 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
    4. 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
    5. 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
    6. 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
    7. 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
    8. 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
    9. 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  isi  elib  scopus  scopus
    10. 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
    11. 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
    12. 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
    13. 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
    14. 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
    15. 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
    16. 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
    17. Cherchiglia A.L., Sampaio M., Hiller B., Baeta Scarpelli A.P., “Subtleties in the Beta-Function Calculation of N=1 Supersymmetric Gauge Theories”, Eur. Phys. J. C, 76:2 (2016), 47  crossref  mathscinet  adsnasa  isi  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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