HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 70 (1983) > Number 5
| Next Article >

Prog. Theor. Phys. Vol. 70 No. 5 (1983) pp. 1424-1435

[ Full Text PDF : FREE ACCESS (520K) ]

The Stochastic Quantization of the Gravitational Field and the Gribov Problem

Jiro Sakamoto

Department of Physics, Shimane University, Matsue 690

(Received May 28, 1982)

Abstract:

The stochastic quantization method proposed by Parisi and Wu is applied to the gravitational field. It is found that the Faddeev-Popov distribution for an arbitrary gauge condition, which is obtained in the conventional gauge theories, satisfies the modified equilibrium Fokker-Planck equation by the proper choice of a parameter. It is also shown that the motion of a solution to the Langevin equation for the gravitational field is confined in a region (the Gribov region) where the Faddeev-Popov distribution is positive, if the solution is initially located inside the region.


URL : http://ptp.ipap.jp/link?PTP/70/1424/
DOI : 10.1143/PTP.70.1424

[ Full Text PDF : FREE ACCESS (520K) ] Citation:

References:

  1. G. Parisi and Wu Yongshi, Sienta Sinica 24 (1981), 483.
  2. D. Zwanziger, Nucl. Phys. B 192 (1981), 259[CrossRef].
    L. Baulieu and D. Zwanziger, Nucl. Phys. B 193 (1981), 163[CrossRef].
  3. M. Namiki, I. Ohba, K. Okano and Y. Yamanaka, Prog. Theor. Phys. 69 (1983), 1580[PTP].
  4. H. Nakazato, M. Namiki, I. Ohba and K. Okano, Prog. Theor. Phys. 70 (1983), 298[PTP].
  5. Y. Kakudo, Y. Taguchi, A. Tanaka and K. Yamamoto, Prog. Theor. Phys. 69 (1983), 1225[PTP].
  6. V. N. Gribov, Nucl. Phys. B 139 (1978), 1[CrossRef].
  7. M. Horibe, A. Hosoya and J. Sakamoto, Prog. Theor. Phys. 70 (1983), to bo published.
  8. C. Becchi, A. Rouet and R. Stora, Ann. of Phys. 98 (1976), 287[CrossRef].
    R. Delbourgo and M. R. Medrano, Nucl. Phys. B 110 (1976), 467[CrossRef].
  9. T. Kugo and I. Ojima, Prog. Theor. Phys. Suppl. No. 66 (1979), 1[PTP].
    N. Nishijima, Prog. Theor. Phys. 59 (1978), 972[PTP].
    K. Nishijima and M. Okawa, Prog. Theor. Phys. 60 (1978), 272[PTP].
    T. Kugo and I. Ojima, Nucl. Phys. B 144 (1978), 234[CrossRef].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 73 No. 3 (1985) pp. 790-802 :
    Stochastic Quantization of Linearized Euclidean Gravity and No-Ghost Feynman Rules
    Tomoki Fukai and Keisuke Okano
  2. Progress of Theoretical Physics Vol. 74 No. 4 (1985) pp. 842-851 :
    Generally Covariant Formulation in Stochastic Quantization of Gravity
    Jiro Sakamoto
  3. Progress of Theoretical Physics Vol. 80 No. 1 (1988) pp. 190-198 :
    Stochastic Quantization in Minkowski Space-Time
    Jiro Sakamoto
  4. Progress of Theoretical Physics Vol. 85 No. 2 (1991) pp. 407-416 :
    Stochastic Quantization Method with Field-Dependent Metric
    Riuji Mochizuki
  5. Progress of Theoretical Physics Vol. 86 No. 5 (1991) pp. 1053-1075 :
    BRS Symmetry in Stochastic Quantization of Gravity
    Naohito Nakazawa

[PTP HOME] [BROWSE] [SEARCH] [SUBSCRIPTION] [SUBMISSION] [REGISTRATION]

Copyright © Progress of Theoretical Physics 2013 All rights reserved.