Gauge field strength
= Gauge field strength
{title2=$F_{\mu\nu}$}
The curvature of a non-Abelian gauge field is $F_{\mu\nu}=\partial_\mu A_\nu-\partial_\nu A_\mu+[A_\mu,A_\nu]$. It satisfies $[D_\mu,D_\nu]=F_{\mu\nu}$ and transforms as $F_{\mu\nu}\mapsto gF_{\mu\nu}g^{-1}$.