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Prog. Theor. Phys. Vol. 73 No. 1 (1985) pp. 186-196

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Numerical Simulation of Nonlinear σ-Model by Means of Stochastic Quantization Method

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

Department of Physics, Waseda University, Tokyo 160

(Received August 1, 1984)

Abstract:

Numerical simulation of nonlinear σ-model is performed by the use of Langevin equations under two types of moderate constraints. We have calculated the internal energy, and compared the results with those given by the Metropolis method. It is pointed out that the present formalism is widely applicable to general constrained systems.


URL : http://ptp.ipap.jp/link?PTP/73/186/
DOI : 10.1143/PTP.73.186

[ Full Text PDF : FREE ACCESS (530K) ] Citation:


References:

  1. G. Parisi and Wu Yong-Shi, Sci. Sin. 24 (1981), 483.
  2. D. Zwanziger, Nucl. Phys. B192 (1981), 259[Elsevier].
    L. Baulieu and D. Zwanziger, Nucl. Phys. B193 (1981), 163[Elsevier].
    M. Namiki, I. Ohba, K. Okano and Y. Yamanaka, Prog. Theor. Phys. 69 (1983), 1580[PTP].
    W. Grimus and H. Huffel, Z. Phys. C18 (1983), 129.
    H. Nakazato, M. Namiki, I. Ohba and K. Okano, Prog. Theor. Phys. 70 (1983), 298[PTP].
    E. Floratos and J. Illiopoulous, Nucl. Phys. B214 (1983), 392[Elsevier].
    Y. Nakano, Prog. Theor. Phys. 69 (1983), 361[PTP].
    Y. Kakudo, Y. Taguchi, A. Tanaka and K. Yamamoto, Prog. Theor. Phys. 69 (1983), 1225[PTP].
    T. Fukai, H. Nakazato, I. Ohba, K. Okano and Y. Yamanaka, Prog. Theor. Phys. 69 (1983), 361[PTP].
    M. Namiki and Y. Yamanaka, Prog. Theor. Phys. 69 (1983), 1764[PTP].
    M. Horibe, A. Hosoya and J. Sakamoto, Prog. Theor. Phys. 70 (1983), 1636[PTP].
    And see the following review articles:
    J. R. Klauder, Acta Physica Austrica, Suppl. XXV (Springer, 1983), p. 251.
    B. Sakita, Preprint CCNY-HEP-83/ 14.
  3. G. Parisi, Nucl. Phys. B180 (1981), 378[Elsevier]; ibid. B205 (1982), 337[Elsevier].
    F. Fucito, E. Marinari, G. Parisi and C. Rebbi, Nucl. Phys. B180 (1981), 369[Elsevier].
    F. Fucito and E. Marinari, Nucl. Phys. B190 (1981), 266[Elsevier].
    A. Guha and S. -C. Lee, Phys. Lett. 134B (1984), 216.
  4. M. Namiki, I. Ohba and K. Okano, Prog. Theor. Phys. 72 (1984), 350[PTP].
  5. G. Aldazbal and N. Parga, Preprint IC/ 83/ 155.
  6. L. D. Faddeev, Teoret. i Mat. Fiz. 1 (1969), 3.
    P. Senjanovic, Ann. of Phys. 100 (1976), 227[CrossRef].
    T. Maskawa and H. Nakajima, Prog. Theor. Phys. 56 (1976), 1295[PTP].
  7. S. H. Shenker and J. Tobochnic, Phys. Rev. B22 (1980), 4462[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 75 No. 6 (1986) pp. 1447-1459 :
    Complete Renormalization Scheme for Fictitious-Time Correlations in Stochastic Quantization Method Based on Operator Formalism
    Mikio Namiki and Yoshiya Yamanaka
  2. 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
  3. Progress of Theoretical Physics Vol. 76 No. 3 (1986) pp. 708-714 :
    Possible Derivation of Energy Gaps or Hadron Masses from Fictitious-Time Correlations in Stochastic Quantization Method
    Norio Nakazato, Mikio Namiki and Hiroyuki Shibata