Stochastic Quantization of Bottomless Systems: Stationary quantities in a diffusive process

Details Stochastic Quantization of Bottomless Systems: Stationary quantities in a diffusive process Stochastic Quantization of Bottomless Systems: Stationary quantities in a diffusive process

1999-10-05

arxiv.org/abs/hep-th/9910032v2

Prog.Theor.Phys. 102 (1999) 719

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 10 pages with 4 eps figures, to be published in Prog. Theor. Phys. 102; revised page layout

Scientific paper

10.1143/PTP.102.719

By making use of the Langevin equation with a kernel, it was shown that the Feynman measure exp(-S) can be realized in a restricted sense in a diffusive stochastic process, which diverges and has no equilibrium, for bottomless systems. In this paper, the dependence on the initial conditions and the temporal behavior are analyzed for 0-dim bottomless systems. Furthermore, it is shown that it is possible to find stationary quantities.

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