The 3-loop beta function of QCD

Two Loop QCD Vertices and Three Loop MOM beta functions

Supersymmetry inspired QCD beta function

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 1⁄4 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 theo...

Beta-function in QCD and gluon condensate

Under assumption of singular behavior of αs(q ) at q ≃ 0 and of large q behavior, corresponding to the perturbation theory up to four loops, a procedure is considered of matching the β-function at a boundary of perturbative and non-perturbative regions. The contribution of the non-perturbative region to the gluon condensate is calculated with varying normalization condition αs(m 2 τ ) = 0.29, 0...

The three-loop QCD β-function and anomalous dimensions

The analytic calculation of the three-loop QCD β-function and anomalous dimensions within the minimal subtraction scheme in an arbitrary covariant guage is presented. The result for the β-function coincides with the previous calculation [1]. on leave from Institute for Nuclear Research (INR) of the Russian Academy of Sciences, Moscow 117312, USSR.

The Four-Loop QCD β-Function and Anomalous Dimensions

The four-loop β-function of quantum chromodynamics is calculated and agreement is found with the previous result. The anomalous dimensions of the quark-gluon vertex, and quark, gluon and ghost fields are given for a general compact simple Lie group.