  We investigate the statistical mechanics of an inhomogeneous Coulomb fluid
composed of charged particles with static polarizability. We derive the weak-
and the strong-coupling approximations and evaluate the partition function in a
planar dielectric slab geometry with charged boundaries. We investigate the
density profiles and the disjoining pressure for both approximations.
Comparison to the case of non-polarizable counterions shows that polarizability
brings important differences in the counterion density distribution as well as
the counterion mediated electrostatic interactions between charged dielectric
interfaces.
