  The divergence structure of non-commutative gauge field theories (NCGFT) with
a Slavnov extension is examined at one-loop level with main focus on the gauge
boson self-energy. Using an interpolating gauge we show that even with this
extension the quadratic IR divergence of the gauge boson self-energy is
independent from a covariant gauge fixing as well as from an axial gauge.
  The proposal of Slavnov is based on the fact that the photon propagator shows
a new transversality condition with respect to the IR dangerous terms. This
novel transversality is implemented with the help of a new dynamical multiplier
field. However, one expects that in physical observables such contributions
disappear. A further new feature is the existence of new UV divergences
compatible with the gauge invariance (BRST symmetry). We then examine two
explicit models with couplings to fermions and scalar fields.
