Analytical Solution to the Fokker-Planck Equation with a Bottomless Action
High Energy Physics - Theory
2009-10-22 v1
Abstract
A new Langevin equation with a field-dependent kernel is proposed to deal with bottomless systems within the framework of the stochastic quantization of Parisi and Wu. The corresponding Fokker-Planck equation is shown to be a diffusion-type equation and is solved analytically. An interesting connection between the solution with the ordinary Feynman measure, which in this case is not normalizable, is clarified.
Keywords
Cite
@article{arxiv.hep-th/9310129,
title = {Analytical Solution to the Fokker-Planck Equation with a Bottomless Action},
author = {Hiromichi Nakazato},
journal= {arXiv preprint arXiv:hep-th/9310129},
year = {2009}
}
Comments
9 pages, DPUR 66, plain TeX