Stochastic Quantization of Topological Field Theory

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概要

• 論文の詳細を見る

• A Euclidean topological action is always purely imaginary; its stochastic quantization inevitably involves the complex Langevin equation. We show that the standard results for abelian Chern-Simons theory can be reproduced in the stochastic approach with the Maxwell term as a regularization; but if one ignores the factor of i, the Langevin equation will become pathological. Simplification may occur if one uses the generalized Langevin equation with an appropriate, purely imaginary kernel; we exemplify this by stochastic quantization in Minkowski space-time and again the abelian Chern-Simons theory. The stochastic perturbation theory of non-abelian Chern-Simons theory is also studied and the contributions of usual Faddeev-Popov ghosts are verified to be reproducible without gauge fixing.

• 理論物理学刊行会の論文
• 1993-04-10

著者

• Wu Yong-shi

  Department Of Physics. University Of Utah

• Wu Yong-shi

  Physics Department University Of Utah

• Wu Y‐s

  Department Of Physics. University Of Utah

• Zhu Chuan-jie

  Physics Department University Of Utah

• ZHU Chuan-Jie

  Physics Department, University of Utah

• WU Yong-Shi

  Physics Department, University of Utah

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• Mutual Exclusion Statistics in Exactly Solvable Models in One and Higher Dimensions
• Braid Groups, Anyons and Gauge Invariance : On Topologically Nontrivial Surfaces
• Stochastic Quantization of Topological Field Theory

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