English

Supersymmetry Inspired QCD Beta Function

High Energy Physics - Theory 2008-11-07 v3 High Energy Physics - Lattice High Energy Physics - Phenomenology

Abstract

We propose an all orders beta function for ordinary Yang-Mills theories with or without fermions inspired by the Novikov-Shifman-Vainshtein-Zakharov beta function of N=1 supersymmetric gauge theories. The beta function allows us to bound the conformal window. When restricting to one adjoint Weyl fermion we show how the proposed beta function matches the one of supersymmetric Yang-Mills theory. The running of the pure Yang-Mills coupling is computed and the deviation from the two loop result is presented. We then compare the deviation with the one obtained from lattice data also with respect to the two loop running.

Keywords

Cite

@article{arxiv.0711.3745,
  title  = {Supersymmetry Inspired QCD Beta Function},
  author = {Thomas A. Ryttov and Francesco Sannino},
  journal= {arXiv preprint arXiv:0711.3745},
  year   = {2008}
}

Comments

17 pages and 3 figures. References Added

R2 v1 2026-06-21T09:46:40.381Z