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Prog. Theor. Phys. Vol. 80 No. 1 (1988) pp. 190-198

Stochastic Quantization in Minkowski Space-Time

Jiro Sakamoto

Department of Physics, Shimane University, Matsue 690

(Received October 1, 1987)

Abstract:

Stochastic quantization procedure in Minkowski space-time is proposed. With real Minkowski action a kernel is introduced in orde to make the solution of the Langevin equation approach an equilibrium state at least in perturbative expansion. The case of a scalar field is discussed at first to show the basic idea of our formulation. Application to non-Abelian gauge field is also investigated. In this case the kernel depends on field for the sake of gauge invariance of the Langevin equation and then an additional term is necessary for the equivalence to the other quantization procedures.

URL : http://ptp.ipap.jp/link?PTP/80/190/
DOI : 10.1143/PTP.80.190

[ Full Text PDF : FREE ACCESS (380K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 81 No. 1 (1989) pp. 241-247 :

   Minkowski Stochastic Quantization of Fermion Field and Chiral Anomaly

   Jiro Sakamoto and Akira Sugisawa

2. Progress of Theoretical Physics Vol. 81 No. 6 (1989) pp. 1099-1103 :

   Note on the Anomalies from Stochastic Quantization

   Katsusada Morita

3. Progress of Theoretical Physics Vol. 82 No. 6 (1989) pp. 1201-1208 :

   A Nonperturbative Approach to the Spectrum of a Nonhermite Fokker-Planck Hamiltonian

   Hiromichi Nakazato and Takeshi Yamashiro

4. Progress of Theoretical Physics Vol. 83 No. 2 (1990) pp. 318-325 :

   Minkowski Stochastic Quantization of the Vector Field Based on a Langevin Equation with a Kernel Factor

   Nobuyuki Komoike and Satoshi Tanaka

5. Progress of Theoretical Physics Supplement No.111 (1993) pp. 313-347 :

   Complex Langevin Simulation

   Keisuke Okano, Lothar Schülke and Bo Zheng

6. Progress of Theoretical Physics Supplement No.111 (1993) pp. 349-371 :

   Spectrum of the Fokker-Planck Hamiltonian in Minkowski Space

   Hiromichi Nakazato

7. Progress of Theoretical Physics Supplement No.111 (1993) pp. 373-388 :

   Stochastic Quantization of Topological Field Theory

   Yong-Shi Wu and Chuan-Jie Zhu

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