Solution
= Solution
The <strong-coupling scale> $\Lambda$ is defined as the scale at which the one-loop inverse coupling vanishes. Setting $g^{-2}(\Lambda)=0$ gives
$$
\boxed{\Lambda=\Lambda_{UV}
\exp\!\left[-\frac{3(4\pi)^2}{2b_0g_0^2}\right]}.
$$
Equivalently, in terms of the coupling measured at any scale $\mu$,
$$
\boxed{\Lambda=\mu
\exp\!\left[-\frac{3(4\pi)^2}{2b_0g^2(\mu)}\right]}.
$$
This <dimensional transmutation> defines $\Lambda_{\rm QCD}$ for <Quantum chromodynamics>.