Christoph Kopper, Volkhard F. Mueller 
Renormalization Proof for Spontaneously broken Yang-Mills 
Theory with Flow Equations
(132K, LATex)

ABSTRACT.  In this paper we present a renormalizability proof 
for spontaneously broken $SU(2)$ gauge theory. It is based on Flow 
Equations, i.e. on the Wilson renormalization group adapted to 
perturbation theory. The power counting part of the proof, 
which is conceptually and technically simple, 
follows the same lines as that for any other renormalizable theory. 
The main difficulty stems from the 
fact that the regularization violates gauge invariance. We prove that 
there exists a class of renormalization conditions such that the 
renormalized Green functions satisfy the Slavnov-Taylor identities 
of $SU(2)$ Yang-Mills theory on which the gauge invariance of the 
renormalized theory is based.