Yang-Mills gauge transformation
= Yang-Mills gauge transformation
{c}
For $D_\mu=\partial_\mu-igA_\mu$ and matter transforming as $\psi\mapsto U\psi$, a Yang-Mills connection transforms inhomogeneously while its curvature transforms by conjugation, $F_{\mu\nu}\mapsto UF_{\mu\nu}U^{-1}$.