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TMF, 2006, Volume 146, Number 3, Pages 385–401 (Mi tmf2042)  

This article is cited in 15 scientific papers (total in 15 papers)

Summation of diagrams in $N=1$ supersymmetric electrodynamics regularized by higher derivatives

K. V. Stepanyantz

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: For the massless $N=1$ supersymmetric electrodynamics regularized by higher derivatives, we partially sum the Feynman diagrams that define the divergent part of the two-point Green's function and cannot be found from Schwinger–Dyson equations and Ward identities. The result can be written as a special identity for Green's functions.

Keywords: supersymmetry, higher covariant derivatives, Feynman diagrams, Schwinger–Dyson equations, Ward identities


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English version:
Theoretical and Mathematical Physics, 2006, 146:3, 321–334

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Received: 18.04.2005
Revised: 27.09.2005

Citation: K. V. Stepanyantz, “Summation of diagrams in $N=1$ supersymmetric electrodynamics regularized by higher derivatives”, TMF, 146:3 (2006), 385–401; Theoret. and Math. Phys., 146:3 (2006), 321–334

Citation in format AMSBIB
\by K.~V.~Stepanyantz
\paper Summation of diagrams in $N=1$ supersymmetric electrodynamics regularized by higher derivatives
\jour TMF
\yr 2006
\vol 146
\issue 3
\pages 385--401
\jour Theoret. and Math. Phys.
\yr 2006
\vol 146
\issue 3
\pages 321--334

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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, “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
    3. 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
    4. 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
    5. Pimenov AB, Soloshenko AA, Stepanyantz KV, et al, “Regularization by higher derivatives and quantum corrections in $N=1$ supersymmetric theories”, Russian Physics Journal, 51:5 (2008), 444–479  crossref  mathscinet  zmath  adsnasa  isi  elib
    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. 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
    8. 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
    9. 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
    10. 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
    11. Gama F.S., Gomes M., Nascimento J.R., Petrov A.Yu., da Silva A.J., “Higher-derivative supersymmetric gauge theory”, Phys Rev D, 84:4 (2011), 045001  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus
    12. 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
    13. 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
    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  scopus  scopus
    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  mathscinet  zmath  adsnasa  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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