Higher derivative regularization and quantum corrections in N=1 supersymmetric theories

Pimenov, A. B.; Shevtsova, E. S.; Soloshenko, A. A.; Stepanyantz, K. V.

Higher derivative regularization and quantum corrections in N=1 supersymmetric theories

Authors

Description

We review some results of applying the higher covariant derivative regularization to the investigation of quantum corrections structure in N=1 supersymmetric theories. In particular, we demonstrate that all integrals, defining the Gell-Mann--Low function in supersymmetric theories, are integrals of total derivatives. As a consequence, there is an identity for Green functions, which does not follow from any known symmetry of the theory, in N=1 supersymmetric theories. We also discuss how to derive the exact $β$-function by methods of the perturbation theory.
39 pages, 13 figures, 5 references added