  We extend the worldline description of vector and antisymmetric tensor fields
coupled to gravity to the massive case. In particular, we derive a worldline
path integral representation for the one-loop effective action of a massive
antisymmetric tensor field of rank p (a massive p-form) whose dynamics is
dictated by a standard Proca-like lagrangian coupled to a background metric.
This effective action can be computed in a proper time expansion to obtain the
corresponding Seeley-DeWitt coefficients a0, a1, a2. The worldline approach
immediately shows that these coefficients are derived from the massless ones by
the simple shift D -> D+1, where D is the spacetime dimension. Also, the
worldline representation makes it simple to derive exact duality relations.
Finally, we use such a representation to calculate the one-loop contribution to
the graviton self-energy due to both massless and massive antisymmetric tensor
fields of arbitrary rank, generalizing results already known for the massless
spin 1 field (the photon).
