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Prog. Theor. Phys. Vol. 69 No. 1 (1983) pp. 361-365

Letters

One-Time Characteristic Functional in the Stochastic Quantization

Yoshimasa Nakano

Department of Physics, The University of Alberta, Edmonton, Alberta, Canada T6G 2J1

(Received October 4, 1982)

Abstract:

Taking advantage of the one-time characteristic functional, we present a proof for the equivalence between the stochastic quantization and the ordinary one. It is shown that we cannot apply our scheme to the gauge theories unless we introduce an infinitesimal parameter which assures the relaxation of the stochastic process.

URL : http://ptp.ipap.jp/link?PTP/69/361/
DOI : 10.1143/PTP.69.361

[ Full Text PDF : FREE ACCESS (193K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 70 No. 1 (1983) pp. 298-307 :

   Equivalence of Stochastic Quantization Method to Conventional Field Theories through Super Transformation Invariance

   Hiromichi Nakazato, Mikio Namiki, Ichiro Ohba and Keisuke Okano

2. Progress of Theoretical Physics Vol. 71 No. 5 (1984) pp. 1074-1082 :

   Supergraph Approach to the Stochastic Quantization

   Shigemi Araki and Yoshimasa Nakano

3. Progress of Theoretical Physics Vol. 72 No. 1 (1984) pp. 167-170 :

   Point Transformation in the Stochastic Quantization

   Shigemi Araki and Yoshimasa Nakano

4. Progress of Theoretical Physics Vol. 72 No. 2 (1984) pp. 350-365 :

   Sthochastic Quantization of Constrained Systems

   Mikio Namiki, Ichiro Ohba and Keisuke Okano

5. Progress of Theoretical Physics Vol. 73 No. 5 (1985) pp. 1295-1298 :

   Canonical Stochastic Quantization

   Shijong Ryang, Takesi Saito and Kazuyasu Shigemoto

6. Progress of Theoretical Physics Vol. 76 No. 2 (1986) pp. 501-511 :

   New Procedure of Numerical Simulation of Long-Range Correlations and Energy Gaps by Stochastic Quantization

   Mikio Namiki, Ichiro Ohba, Keisuke Okano, Masanori Rikihisa and Satoshi Tanaka

7. Progress of Theoretical Physics Vol. 84 No. 4 (1990) pp. 749-766 :

   Derivation of a Generalized Stochastic Path-Integral Formulation Based on Ito Chalculus

   Hideyo Kawara, Mikio Namiki, Hiroshi Okamoto and Satoshi Tanaka

8. Progress of Theoretical Physics Vol. 85 No. 2 (1991) pp. 407-416 :

   Stochastic Quantization Method with Field-Dependent Metric

   Riuji Mochizuki

9. Progress of Theoretical Physics Vol. 86 No. 2 (1991) pp. 575-579 :

   Operator Ordering in Stochastic Hamiltonian and Path Integral Formalism of Stochastic Quantization

   Nobuyuki Komoike

10. Progress of Theoretical Physics Vol. 88 No. 6 (1992) pp. 1233-1238 :

    (D + 1)-Dimensional Formulation for D-Dimensional Constrained Systems

    Riuji Mochizuki

11. Progress of Theoretical Physics Supplement No.111 (1993) pp. 1-41 :

    Basic Ideas of Stochastic Quantization

    Mikio Namiki

12. Progress of Theoretical Physics Supplement No.111 (1993) pp. 115-150 :

    Stochastic and Non-Stochastic Supersymmetry

    Ennio Gozzi

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