Abstract

AbstractFor pure Yang‐Mills theories with semi‐simple compact gauge group a direct prove of the Slavnov identity is given without to solve the related cohomology problem explicitly. To achieve this use is made of two related identities which result by differentiating the Slavnov identity with respect to the fields carrying the same Faddeev‐Popov charge as the Slavnov operator itself. The method which is based on the renormalized quantum action principles may be extended to Yang‐Mills theories in interaction with matter fields and/or within external background configurations.

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