Stochastic Quantization of the Non-Abelian Chern-Simons Gauge Theory Based on a Kerneled Langevin Equation and Faddeev-Popov Ghost Effects : Particles and Fields

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概要

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• We study the stochastic quantization of the non-Abelian Chern-Simons gauge theory based on a kerneled Langevin equation. We choose a non-singular kernel and show that our Langevin equation has a thermal equilibrium limit and reproduces the Faddeev-Popov ghost effects in the gauge invariant quantity automatically without introducing any ghost fields. We show that the 3-dimensional Chern-Simons gauge theory based on our Langevin equation and the 4-dimensional topological field theory give the same partition function and the same Green's function.

• 理論物理学刊行会の論文
• 1994-12-25

著者

• OHBA Ichiro

  Physics Department, Waseda University

• MIZUTANI Masashi

  Department of Physics, Waseda University

• Mizutani Masashi

  Dapartment Of Physics Waseda University

• MIZUTANl Masashi

  Department of Physics, Waseda University

• Ohba Ichiro

  Dapartment Of Physics Waseda University

• MIZUTANI Masashi

  Dapartment of Physics, Waseda University

• 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

• OHBA Ichiro

  Dapartment of Physics, Waseda University

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