  The scope of constrained differential renormalization is to provide
renormalized expressions for Feynman graphs, preserving at the same time the
Ward identities of the theory. It has been shown recently that this can be done
consistently at least to one loop for abelian and non-abelian gauge theories.
We briefly review these results, evaluate as an example the gluon selfenergy in
both coordinate and momentum space, and comment on anomalies.
