Solution (source code)

= Solution

<Asymptotic freedom> means that the gauge <running coupling> tends to zero as the renormalization scale tends to infinity. In the stated convention this occurs when $b_0>0$, namely
$$
\boxed{11N_c-N_f-\frac12N_s>0}.
$$
The high-energy theory then approaches the <Gaussian fixed point> and perturbation theory becomes increasingly accurate.