The NSVZ β-function and the Schwinger-Dyson equations for N = 1 SQED with N f flavors, regularized by higher derivatives

Abstract

The effective diagram technique based on the Schwinger-Dyson equations is constructed for N = 1 SQED with N f flavors, regularized by higher derivatives. Using these effective diagrams, it is possible to derive the exact NSVZ relation between the β-function and the anomalous dimension of the matter superfields exactly in all loops, if the renormalization group functions are defined in terms of the bare coupling constant. In particular, we verify that all integrals which give the β-function defined in terms of the bare coupling constant are integrals of double total derivatives and prove some identities relating Green functions. © 2014 The Author(s).