  We study how the formalism of the Hierarchical Reference Theory (HRT) can be
extended to inhomogeneous systems. HRT is a liquid state theory which
implements the basic ideas of Wilson momentum shell renormalization group (RG)
to microscopic Hamiltonians. In the case of homogeneous systems, HRT provides
accurate results even in the critical region, where it reproduces scaling and
non-classical critical exponents. We applied the HRT to study wetting critical
phenomena in a planar geometry. Our formalism avoids the explicit definition of
effective surface Hamiltonians but leads, close to the wetting transition, to
the same renormalization group equation already studied by RG techiques.
However, HRT also provides information on the non universal quantities because
it does not require any preliminary coarse graining procedure. A simple
approximation to the infinite HRT set of equations is discussed. The HRT
evolution equation for the surface free energy is numerically integrated in a
semi-infinite three-dimensional Ising model and the complete wetting phase
transition is analyzed. A renormalization of the adsorption critical amplitude
and of the wetting parameter is observed. Our results are compared to available
Monte Carlo simulations.
