On a relation between Liouville field theory and a two component scalar field theory passing through the random walk
Mathematical Physics
2008-11-26 v3 Statistical Mechanics
High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0609058,
title = {On a relation between Liouville field theory and a two component scalar field theory passing through the random walk},
author = {Franco Ferrari and Jaroslaw Paturej},
journal= {arXiv preprint arXiv:math-ph/0609058},
year = {2008}
}
Comments
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