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Prog. Theor. Phys. 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
Department of Physics, Waseda University, Tokyo 169
(Received June 28, 1989)
Abstract:
We define a distribution functional for the complex Gaussian white noise vector in Minkowski space. On the basis of it, we set up a simplified Langevin equation with a kernel factor, and formulate the Minkowski stochastic quantization of the Abelian gauge field. An equilibrium Fokker-Planck distribution and a generating functional are derived explicitly. It is pointed out that introduction of a kernel factor is important to guarantee causality of the propagator.
URL :
http://ptp.ipap.jp/link?PTP/83/318/
DOI : 10.1143/PTP.83.318
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Citing Article(s) :
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Progress of Theoretical Physics Vol. 92 No. 6 (1994) pp. 1185-1205
:
-
Stochastic Quantization of the Non-Abelian Chern-Simons Gauge Theory Based on a Kerneled Lagevin Equation and Faddeev-Popov Ghost Effects
-
Masashi Mizutani and Ichiro Ohba
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Progress of Theoretical Physics Supplement No.111 (1993) pp. 349-371
:
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Spectrum of the Fokker-Planck Hamiltonian in Minkowski Space
-
Hiromichi Nakazato
