Diffusion of Brownian particles and Liouville field theory

Details Diffusion of Brownian particles and Liouville field theory Diffusion of Brownian particles and Liouville field theory

2009-01-09

arxiv.org/abs/0901.1234v2

Acta Phys.Polon.B40:1383,2009

Physics

High Energy Physics

High Energy Physics - Theory

Latex+Revtex4, 11 pages, no figures, version accepted for publication

Scientific paper

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.

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