Speaker
Description
We establish the conformal nature of an SU(3) gauge theory with twelve
fundamental flavors by presenting final results for our gradient flow
step-scaling calculation of the renormalization group beta function using domain wall fermions. The
continuum limit of the $s=2$ step scaling function exhibits a sign change (infra-red
fixed point) around $g_c^2 \sim 5.5$ in the $c=0.25$ scheme. Our
calculation is based on a fully O(a^2) improved set-up with
Symanzik gauge action,
stout-smeared Möbius domain wall fermions, Zeuthen flow, and Symanzik
operator.
This setup has small cut-off corrections which leads to reliable continuum extrapolations.
In addition we present a new analysis of the continuous $s\to 0$ $\beta$ function using the same set of ensembles.
This new analysis uses only volumes $L \ge 24$ and determines the $\beta$ function in a different renormalization scheme.
The continuous $\beta$ function also predicts the existence of a conformal fixed point.
