Supersymmetry Inspired QCD Beta Function

TL;DR

This paper introduces a novel all-orders beta function for Yang-Mills theories inspired by supersymmetric models, providing insights into the conformal window and comparing theoretical predictions with lattice data.

Contribution

It proposes a new all-orders beta function for non-supersymmetric Yang-Mills theories inspired by supersymmetry, and analyzes its implications for the conformal window and coupling running.

Findings

Beta function bounds the conformal window.

Matches supersymmetric Yang-Mills for one adjoint Weyl fermion.

Deviation from two-loop results aligns with lattice data.

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.