HOME    |    BROWSE    |    SEARCH    |    SUBSCRIPTION   |    SUBMISSION    |    REGISTRATION

Quick Search:
Author: Title/Abstract: Vol./No: Page:
PTP Online Top > Volume 70 (1983) > Number 6
| Next Article >

Prog. Theor. Phys. Vol. 70 No. 6 (1983) pp. 1636-1647

[ Full Text PDF : FREE ACCESS (507K) ]

Stochastic Quantization and the Gribov Problem in Non-Abelian Gauge Theories

Minoru Horibe, Akio Hosoya* and Jiro Sakamoto**

Department of Education, Fukui University, Fukui 910
*Department of Physics, Osaka University, Toyonaka 560
**Department of Physics, Shimane University, Matsue 690

(Received June 8, 1983)

Abstract:

The Gribov problem of gauge fixing in non-abelian gauge theories is investigated in the framework of stochastic quantization. A criterion is given for a confinement of the sample path of gauge field configurations inside the Gribov region where the Faddeev-Popov determinant is positive.


URL : http://ptp.ipap.jp/link?PTP/70/1636/
DOI : 10.1143/PTP.70.1636

[ Full Text PDF : FREE ACCESS (507K) ] Citation:

References:

  1. G. Parisi and Wu Y. -S., Scientia Sinica 24 (1981), 483.
  2. V. N. Gribov, Nucl. Phys. B 139 (1978), 1[CrossRef].
  3. Y. Kakudo, Y. Taguchi, A. Tanaka and K. Yamamoto, Prog. Theor. Phys. 69 (1983), 1225[PTP].
  4. M. Namiki, I. Ohba, K. Okano and Y. Yamanaka, Prog. Theor. Phys. 69 (1983), 1580[PTP].
  5. D. Zwanziger, Nucl. Phys. B 192 (1981), 259[CrossRef].
  6. L. Baulieu and D. Zwanziger, Nucl. Phys. B 193 (1981), 163[CrossRef].
  7. D. Zwanziger, Nucl. Phys. B 209 (1982), 336[CrossRef].
  8. S. G. Narendra and R-D. Nira, Stochastic Models in Biology (Academic Press, New York, 1974).
  9. H. P. Mckean, Stochastic Integrals (Academic Press, New York, 1969).
  10. C. Becchi, A. Rouet and R. Stora, Ann. of Phys. 98 (1976), 287[CrossRef].
  11. T. Kugo and I. Ojima, Prog. Theor. Phys. Suppl. No. 66 (1979), 1[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 71 No. 4 (1984) pp. 881-883 :
    Arbitrariness of Zwanziger's Parameter in Stochastic Quantization of Non-Abelian Gauge Fields
    Jiro Sakamoto
  2. Progress of Theoretical Physics Vol. 72 No. 2 (1984) pp. 350-365 :
    Sthochastic Quantization of Constrained Systems
    Mikio Namiki, Ichiro Ohba and Keisuke Okano
  3. Progress of Theoretical Physics Vol. 76 No. 4 (1986) pp. 966-968 :
    Incompatibility between Stochastic Smeared Regularization and Zwanziger's Gauge Fixing
    Jiro Sakamoto
  4. Progress of Theoretical Physics Vol. 80 No. 1 (1988) pp. 190-198 :
    Stochastic Quantization in Minkowski Space-Time
    Jiro Sakamoto
  5. Progress of Theoretical Physics Vol. 86 No. 5 (1991) pp. 1053-1075 :
    BRS Symmetry in Stochastic Quantization of Gravity
    Naohito Nakazawa
  6. Progress of Theoretical Physics Vol. 87 No. 4 (1992) pp. 1035-1048 :
    Is the Stochastic Gauge-Fixing a Consistent Method for Reducible Gauge Theories?
    Atsushi Nakamura
  7. Progress of Theoretical Physics Vol. 110 No. 6 (2003) pp. 1117-1150 :
    N=1 Supersymmetric Yang-Mills Theory in Itō Calculus
    Naohito Nakazawa
  8. Progress of Theoretical Physics Vol. 116 No. 5 (2006) pp. 883-917 :
    Stochastic Gauge Fixing for N = 1 Supersymmetric Yang-Mills Theory
    Naohito Nakazawa

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

Copyright © Progress of Theoretical Physics 2013 All rights reserved.