Analytical solution to the Fokker-Planck equation with a bottomless action

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A new Langevin equation with a field-dependent kernel is proposed to deal with bottomless systems. The corresponding Fokker-Planck equation is shown to be a diffusion-type equation and is solved analytically at any finite fictitious time. The solution generally depends on the choice of initial distribution and has no equilibrium limit. An interesting connection to the ordinary Feynman measure, which in this case is not normalizable, is clarified.

Original languageEnglish
Pages (from-to)98-103
Number of pages6
JournalPhysics Letters B
Issue number1-2
Publication statusPublished - 1994 Jul 28
Externally publishedYes


ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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