Stochastic Quantization of System under Constraints through Phase Space Formulation : Particles and Fields
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概要
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The Parisi-Wu stochastic quantization method is extended to a new method in the phase space. We first show that this method applied to a regular dynamical system yields the equilibrium distribution, in the stochastic process with respect to a fictitious time, which is the same formula as given by the conventional path-integral method. Next we present an extension of this phase space formulation applicable to non-Abelian gauge systems. The generalized Fokker-Planck equation gives naturally the equilibrium distribution which coincides with the Faddeev-Popov formula. The relation between this method and stochastic gauge fixing schemes is briefly discussed.
- 理論物理学刊行会の論文
- 1987-05-25
著者
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OHBA Ichiro
Physics Department, Waseda University
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Ohba Ichiro
Department Of Applied Physics Waseda University
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OHBA Ichiro
Department of Physics, Waseda University:Kagami Memorial Laboratory for Materials Science and Technology, Waseda University:Advanced Research Center for Science and Technology, Waseda University
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OHBA Ichiro
Dapartment of Physics, Waseda University
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