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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 147, Number 2, Pages 290–302
DOI: https://doi.org/10.4213/tmf1964 (Mi tmf1964) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Four-loop verification of an algorithm for summing Feynman diagrams in the $N{=}1$ supersymmetric electrodynamics

A. B. Pimenov, K. V. Stepanyantz

M. V. Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (534 kB) Citations (16)
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DOI: https://doi.org/10.4213/tmf1964
Abstract: By calculating some four-loop diagrams in the $N{=}1$ supersymmetric electrodynamics regularized by higher derivatives, we verify a method for summing Feynman diagrams based on using Schwinger–Dyson equations and Ward identities. In particular, for the diagrams considered, we prove the correctness of an additional identity for Green's functions not reduced to the gauge Ward identity.
Keywords: supersymmetry, Ward identity, higher covariant derivatives.
Received: 31.10.2005
Revised: 01.12.2005
English version:
Theoretical and Mathematical Physics, 2006, Volume 147, Issue 2, Pages 687–697
DOI: https://doi.org/10.1007/s11232-006-0070-0
Bibliographic databases:
Language: Russian
Citation: A. B. Pimenov, K. V. Stepanyantz, “Four-loop verification of an algorithm for summing Feynman diagrams in the $N{=}1$ supersymmetric electrodynamics”, TMF, 147:2 (2006), 290–302; Theoret. and Math. Phys., 147:2 (2006), 687–697
Citation in format AMSBIB
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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