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arXiv · 0712.1721

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

A. B. Pimenov·E. S. Shevtsova·A. A. Soloshenko·K. V. Stepanyantz
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Abstract

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.

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A. B. Pimenov, E. S. Shevtsova, A. A. Soloshenko, K. V. Stepanyantz. 2007-12-19. Higher derivative regularization and quantum corrections in N=1 supersymmetric theories. https://arxiv.org/abs/0712.1721

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