Abstract
We define the perturbation theory of Yang-Mills theory developed around an instanton. This needs for a proper treatment of the zero modes. The generalized Faddeev-Popov determinant mixes the contributions of the gauge, translations and dilatations zero modes; this difficulty necessitates the introduction of new ghosts. The existence of Feynman rules and a proper renormalization scheme are settled. Slavnov identities are proved; they allow us to show the independence of the theory from the parameters introduced to deal with the zero modes. At last, fermions are introduced and the framework is extended to QCD.
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