On a relation between Liouville field theory and a two component scalar field theory passing through the random walk
arXiv:math-ph/0609058 · doi:10.1016/j.physletb.2008.05.001
Abstract
In this work it is proposed a 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 quantum Liouville field theory may be mapped into a field theory with a polynomial interaction between two scalar fields and a massive vector field.
15 pages, 4 figures, LaTeX + RevTeX 4. With respect to the previous version an appendix has been added to provide an alternative proof of Eq. (31). Title and abstract have been changed