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arXiv · 1603.04347

One-loop divergences in non-Abelian supersymmetric theories regularized by BRST-invariant version of the higher derivative regularization

S. S. Aleshin·A. E. Kazantsev·M. B. Skoptsov·K. V. Stepanyantz
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Abstract

We consider a general non-Abelian renormalizable ${\cal N}=1$ supersymmetric gauge theory, regularized by higher covariant derivatives without breaking the BRST invariance, and calculate one-loop divergences for a general form of higher derivative regulator and of the gauge fixing term. It is demonstrated that the momentum integrals giving the one-loop $β$-function are integrals of double total derivatives independently of a particular choice of the higher derivative term. Evaluating them we reproduce the well-known result for the one-loop $β$-function. Also we find that the three-point ghost vertices with a single line of the quantum gauge superfield are not renormalized in the considered approximation.

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S. S. Aleshin, A. E. Kazantsev, M. B. Skoptsov, K. V. Stepanyantz. 2016-03-14. One-loop divergences in non-Abelian supersymmetric theories regularized by BRST-invariant version of the higher derivative regularization. https://doi.org/10.1007/jhep05(2016)014

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