Four-loop verification of algorithm for Feynman diagrams summation in N=1 supersymmetric electrodynamics

Details Four-loop verification of algorithm for Feynman diagrams summation in N=1 supersymmetric electrodynamics Four-loop verification of algorithm for Feynman diagrams summation in N=1 supersymmetric electrodynamics

2006-03-05

arxiv.org/abs/hep-th/0603030v1

Theor.Math.Phys.147:687-697,2006; Teor.Mat.Fiz.147:290-302,2006

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 9 figures

Scientific paper

10.1007/s11232-006-0070-0

A method of Feynman diagrams summation, based on using Schwinger-Dyson equations and Ward identities, is verified by calculating some four-loop diagrams in N=1 supersymmetric electrodynamics, regularized by higher derivatives. In particular, for the considered diagrams correctness of an additional identity for Green functions, which is not reduced to the gauge Ward identity, is proved.

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