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

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

2007-12-11

arxiv.org/abs/0712.1721v2

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 13 figures, 5 references added

Scientific paper

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 $\beta$-function by methods of the perturbation theory.

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