  In this work we review a recently proposed transformation which is useful in
order to simplify non-polynomial potentials given in the form of an
exponential. As an application, it is shown that the Liouville field theory may
be mapped into a field theory with a polynomial interaction between two scalar
fields and a massive vector field. The used methodology is illustrated with the
help of the simple case of a particle performing a random walk in a delta
function potentials.
