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arXiv · 0901.1234

Diffusion of Brownian particles and Liouville field theory

Franco Ferrari·Jaroslaw Paturej
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Abstract

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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Franco Ferrari, Jaroslaw Paturej. 2009-01-09. Diffusion of Brownian particles and Liouville field theory. https://arxiv.org/abs/0901.1234

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