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

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

DOI: https://doi.org/10.4213/tmf2042

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

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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
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• http://mi.mathnet.ru/eng/tmf2042
• https://doi.org/10.4213/tmf2042
• http://mi.mathnet.ru/eng/tmf/v146/i3/p385

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

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
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
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
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
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
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
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
8. Stepanyantz, KV, “A new relation restricting the Green functions of N=1 supersymmetric electrodynamics”, Moscow University Physics Bulletin, 64:3 (2009), 250
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
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
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
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
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
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
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
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