Ward identities and charge renormalization of the Yang-Mills field

Abstract We derive, for the massless Yang-Mills field, a generalized Ward-Takahashi identity which implies that Z 1 / Z 2 has a common value for the vector field and for the “fictious” scalar field, thus ensuring that the renormalized charges are equal. The identity may also be used to avoid ambiguities in working with quadratically divergent integrals.