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

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. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 147, No. 2, pp. 290–302, May, 2006.