Analytical Solution to the Fokker-Planck Equation with a Bottomless Action

Details Analytical Solution to the Fokker-Planck Equation with a Bottomless Action Analytical Solution to the Fokker-Planck Equation with a Bottomless Action

1993-10-20

arxiv.org/abs/hep-th/9310129v1

Phys.Lett. B333 (1994) 98-103

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, DPUR 66, plain TeX

Scientific paper

10.1016/0370-2693(94)91013-8

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.

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