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Prog. Theor. Phys. Vol. 69 No. 6 (1983) pp. 1764-1793

[ Full Text PDF : FREE ACCESS (1097K) ]

Stochastic Quantization Method in Operator Formalism

Mikio Namiki and Yoshiya Yamanaka

Department of Physics, Waseda University, Tokyo 160

(Received November 12, 1982)

Abstract:

The stochastic quantization method is developed in a possible “Heisenberg” operator theory of stochastic processes so designed as to keep a formal analogy to quantum mechanics. The general theory is first formulated for stochastic processes of the Wiener type and then its application to quantization of boson fields is presented. It seems that the operator formalism is convenient to examine implications of the stochastic quantization method. Within the theoretical framework we develop the “Feynman-Dyson” approach to field propagators in perturbation theory. This approach enables us to simplify and systematize practical calculations in comparison with the Langevin equation method. In the Appendix we formulate the Green function approach to field propagators using the chracteristic functional.


URL : http://ptp.ipap.jp/link?PTP/69/1764/
DOI : 10.1143/PTP.69.1764

[ Full Text PDF : FREE ACCESS (1097K) ] Citation:

References:

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