The Stochastic Quantization Method in Phase Space and a New Gauge Fixing Procedure
High Energy Physics - Theory
2015-06-26 v1
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 with corresponding path integral distribution.
Cite
@article{arxiv.hep-th/9310090,
title = {The Stochastic Quantization Method in Phase Space and a New Gauge Fixing Procedure},
author = {R. Mochizuki},
journal= {arXiv preprint arXiv:hep-th/9310090},
year = {2015}
}
Comments
18 pages (Plain TeX), CHIBA-EP-71