Abstract
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 invar iant 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.
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