  We consider the static quantum potential for a gauge theory which includes a
light massive vector field interacting with the familiar $U(1)_{QED}$ photon
via a Chern-Simons- like coupling, by using the gauge-invariant, but
path-dependent, variables formalism. An exactly screening phase is then
obtained, which displays a marked departure of a qualitative nature from
massive axionic electrodynamics. The above static potential profile is similar
to that encountered in axionic electrodynamics consisting of a massless
axion-like field, as well as to that encountered in the coupling between the
familiar $U(1)_{QED}$ photon and a second massive gauge field living in the
so-called $U(1)_h$ hidden-sector, inside a superconducting box.
