Diffusion of Brownian particles and Liouville field theory
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2009
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| _version_ | 1866929355403296768 |
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| author | Ferrari, Franco Paturej, Jaroslaw |
| author_facet | Ferrari, Franco Paturej, Jaroslaw |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0901_1234 |
| institution | arXiv |
| publishDate | 2009 |
| record_format | arxiv |
| spellingShingle | Diffusion of Brownian particles and Liouville field theory Ferrari, Franco Paturej, Jaroslaw High Energy Physics - Theory 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. |
| title | Diffusion of Brownian particles and Liouville field theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/0901.1234 |