English

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

High Energy Physics - Theory 2016-05-25 v1

Abstract

We consider a general non-Abelian renormalizable N=1{\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\beta-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\beta-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.

Keywords

Cite

@article{arxiv.1603.04347,
  title  = {One-loop divergences in non-Abelian supersymmetric theories regularized by BRST-invariant version of the higher derivative regularization},
  author = {S. S. Aleshin and A. E. Kazantsev and M. B. Skoptsov and K. V. Stepanyantz},
  journal= {arXiv preprint arXiv:1603.04347},
  year   = {2016}
}

Comments

17 pages, 4 figures