  We consider a two-form antisymmetric tensor field \phi minimally coupled to a
non-abelian vector field with a field strength F. Canonical analysis suggests
that a pseudoscalar mass term \frac{\mu^2}{2} \tr (\phi\wedge \phi) for the
tensor field eliminates degrees of freedom associated with this field. Explicit
one loop calculations show that an additional coupling m\tr(\phi\wedge F)
(which can be eliminated classically by a tensor field shift) reintroduces
tensor field degrees of freedom. We attribute this to the lack of the
renormalizability in our vector-tensor model. We also explore a vector-tensor
model with a tensor field scalar mass term \frac {\mu^2}{2} \tr
(\phi\wedge\star \phi) and coupling m\tr(\phi\wedge \star F). We comment on the
Stueckelberg mechanism for mass generation in the Abelian version of the latter
model.
