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arXiv · hep-th/9202030

Stochastic Quantization of the Chern-Simons Theory

L. F. Cugliandolo·G. L. Rossini·F. A. Schaposnik
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Abstract

We discuss Stochastic Quantization of $d$=3 dimensional non-Abelian Chern-Simons theory. We demonstrate that the introduction of an appropriate regulator in the Langevin equation yields a well-defined equilibrium limit, thus leading to the correct propagator. We also analyze the connection between $d$=3 Chern-Simons and $d$=4 Topological Yang-Mills theories showing the equivalence between the corresponding regularized partition functions. We study the construction of topological invariants and the introduction of a non-trivial kernel as an alternative regularization.

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L. F. Cugliandolo, G. L. Rossini, F. A. Schaposnik. 1992-02-07. Stochastic Quantization of the Chern-Simons Theory. https://doi.org/10.1016/0003-4916(92)90325-g

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