This article is cited 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

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

DOI: 10.4213/tmf1964

 English version: Theoretical and Mathematical Physics, 2006, 147:2, 687–697

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