Derivation of a Generalized Stochastic Path-Integral Formulation Based on Ito Calculus : Particles and Fields

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概要

• 論文の詳細を見る

• A generalized path-integral formulation of stochastic quantization is given based on an Ito-type discretized Langevin equation. In the derivation, we do not have to evaluate an ill-defined factor such as a value of the step function at the singular point. The generalized path-integral formulation includes a real parameter b. The conventional two kinds of stochastic path-integral formulations, whose mutual relation has not been clear so far, are realized by choosing b=0 and b=1/2, respectively. We also establish a well-defined calculation rule which should be adopted in perturbative calculation for any value of b. The implications of this calculation rule are investigated within the framework of a lattice theory. Finally, we numerically investigate what kind of effects discretization of a stochastic action make on calculated expectation values.

• 理論物理学刊行会の論文
• 1990-10-25

著者

• Okamoto Hiroshi

  Department Of Cardiovascular Medicine Hokkaido University Hospital

• Tanaka Satoshi

  Department Of Nutritional Sciences Faculty Of Nutritional Science Nakamura Gakuen University

• Namiki Mikio

  Department Of Applied Physics And Science And Engineering Research Laboratory Waseda University

• Tanaka S

  Kobe Univ. Kobe Jpn

• KAWARA Hideyo

  Department of Physics, Waseda University

• Okamoto Hiroshi

  Department Of Advanced Biological Sciences For Regeneration (kotobiken Medical Laboratories) Tohoku

• Kawara Hideyo

  Department Of Physics Waseda University

• Namiki Mikio

  Department Of Applied Physics : Science And Engineering Research Laboratory Waseda University

• Tanaka Satoshi

  Department Of Anesthesia Nagano Municipal Hospital

• Tanaka Satoshi

  Department Of Agricultural Chemistry Faculty Of Agriculture Tottori University

• TANAKA Sho

  Atomic Energy Research Institute, Nihon University

• TANAKA Satoshi

  Department of Physics, Waseda University

• TANAKA Satoshi

  Department of Physics, Tohoku University

• TANAKA Satoshi

  Department of Physics, Faculty of Science and Technology, Kinki University

• TANAKA Satoshi

  Physical Laboratory, Faculty of Science and Technology Kinki University

• TANAKA Satoshi

  Physics Laboratory, Faculty of Science and Technology, Kinki University

• TANAKA Shun-Ichi

  Faculty of Human Development, Division of Sciences for Natural Environment Kobe University

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