THE RENORMALIZATION CONTENT OF SLAVNOV–TAYLOR IDENTITIES

We show, in the simplest non-trivial case, the SU(2) pure Yang–Mills model, how the renormalization conditions implementing the whole set of Slavnov–Taylor identities can be reduced to a finite number of prescriptions for few renormalized one-particle irreducible Green functions. The result is strictly analogous to the famous QED Ward identity relating the electron vertex to the momentum derivative of its propagator.