Yang-Mills theory
= Yang-Mills theory
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Yang-Mills theory is the non-Abelian gauge theory with field strength
$$
F_{\mu\nu}=\partial_\mu A_\nu-\partial_\nu A_\mu-ig[A_\mu,A_\nu].
$$
Under an infinitesimal gauge transformation it transforms covariantly as $\delta F_{\mu\nu}=-ig[F_{\mu\nu},\alpha]$.