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

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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.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    A. B. Pimenov & K. V. Stepanyantz

Authors
  1. A. B. Pimenov
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  2. K. V. Stepanyantz
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 147, No. 2, pp. 290–302, May, 2006.

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Pimenov, A.B., Stepanyantz, K.V. Four-loop verification of an algorithm for summing Feynman diagrams in the N=1 supersymmetric electrodynamics. Theor Math Phys 147, 687–697 (2006). https://doi.org/10.1007/s11232-006-0070-0

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  • DOI: https://doi.org/10.1007/s11232-006-0070-0

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