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

Hiromichi Nakazato
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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.

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Hiromichi Nakazato. 1993-10-20. Analytical Solution to the Fokker-Planck Equation with a Bottomless Action. https://doi.org/10.1016/0370-2693(94)91013-8

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