Stochastic Quantization of Bottomless Systems: Stationary Quantities in a Diffusive Process | Zendy

Kazuya Yuasa | Zendy; Hiromichi Nakazato | Zendy

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Stochastic Quantization of Bottomless Systems: Stationary Quantities in a Diffusive Process

Author(s) -

Kazuya Yuasa,

Hiromichi Nakazato

Publication year - 1999

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.102.719

Subject(s) - stochastic quantization , physics , langevin equation , feynman diagram , quantization (signal processing) , stochastic process , statistical physics , diffusion process , kernel (algebra) , brownian motion , measure (data warehouse) , mathematical physics , quantum mechanics , mathematics , quantum , computer science , statistics , path integral formulation , knowledge management , innovation diffusion , combinatorics , database

By making use of the Langevin equation with a kernel, it was shown that theFeynman measure exp(-S) can be realized in a restricted sense in a diffusivestochastic process, which diverges and has no equilibrium, for bottomlesssystems. In this paper, the dependence on the initial conditions and thetemporal behavior are analyzed for 0-dim bottomless systems. Furthermore, it isshown that it is possible to find stationary quantities.Comment: LaTeX2e, 10 pages with 4 eps figures, to be published in Prog. Theor. Phys. 102; revised page layou

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