THE STOCHASTIC QUANTIZATION METHOD IN PHASE SPACE AND A NEW GAUGE FIXING PROCEDURE
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Published:1994-09-28
Issue:30
Volume:09
Page:2803-2815
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ISSN:0217-7323
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Container-title:Modern Physics Letters A
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language:en
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Short-container-title:Mod. Phys. Lett. A
Affiliation:
1. Department of Physics, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba 263, Japan
Abstract
We study the stochastic quantization of the system with first class constraints in phase space. Though the Langevin equations of the canonical variables are defined without ordinary gauge fixing procedure, gauge fixing conditions are automatically selected and introduced by imposing stochastic consistency conditions upon the first class constraints. Then the equilibrium solution of the Fokker–Planck equation is identical to the corresponding path-integral distribution.
Publisher
World Scientific Pub Co Pte Lt
Subject
General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics