  We consider the coupling of A_{\mu\nu\rho} to the generic current of matter
field, later identified with the spin density current of a Dirac field. In
fact, one of the objectives of this paper is to investigate the impact of the
quantum fluctuations of A_{\mu\nu\rho} on the effective dynamics of the spinor
field. The consistency of the field equations, even at the classical level,
requires the introduction of a mass term for A_{\mu\nu\rho}. In this case, the
Casimir vacuum pressure includes a contribution that is explicitly dependent on
the mass of A_{\mu\nu\rho} and leads us to conclude that the mass term plays
the same role as the infrared cutoff needed to regularize the finite volume
partition functional previously calculated in the massless case. Remarkably,
even in the presence of a mass term, A_{\mu\nu\rho} contains a mixture of
massless and massive spin-0 fields so that the resulting equation is still
gauge invariant. This is yet another peculiar, but physically relevant property
of A_{\mu\nu\rho} since it is reflected in the effective dynamics of the spinor
fields and confirms the confining property of A_{\mu\nu\rho} already expected
from the earlier calculation of the Wilson loop.
