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Prog. Theor. Phys. Vol. 76 No. 3 (1986) pp. 708-714

[ Full Text PDF : FREE ACCESS (310K) ]

Possible Derivation of Energy Gaps or Hadron Masses from Fictitious-Time Correlations in Stochastic Quantization Method

Norio Nakazato, Mikio Namiki and Hiroyuki Shibata

Department of Physics, Waseda University, Tokyo 160

(Received April 28, 1986)

Abstract:

We discuss the possibility of deriving energy gaps or hadron masses from fictitious-time dependences in stochastically quantized field theories, and present a simple example of numerical simulations of this problem in the case of a non-relativistic particle in a fixed potential.


URL : http://ptp.ipap.jp/link?PTP/76/708/
DOI : 10.1143/PTP.76.708

[ Full Text PDF : FREE ACCESS (310K) ] Citation:

References:

  1. M. Namiki, I. Ohba, K. Okano, M. Rikihisa and S. Tanaka, Prog. Theor. Phys. 76 (1986), 501[PTP].
  2. For example, see
    G. Parisi, Nucl. Phys. B180 (1981), 378[Elsevier]; ibid. B205 (1981), 337[Elsevier].
    M. Namiki, I. Ohba, K. Okano, M. Rikihisa and S. Tanaka, Prog. Theor. Phys. 73 (1985), 186[PTP].
  3. M. Namiki and Y. Yamanaka, Prog. Theor. Phys. 69 (1983), 1764[PTP].
    M. Namiki and Y. Yamanaka, Hadronic J. 7 (1984), 594.
    S. Chaturvedi, A. K. Kapoor and V. Srinivasan, Hyderabad-Preprint HUTP-85/1.
  4. M. Namiki and Y. Yamanaka, Prog. Theor. Phys. 75 (1986), 1447[PTP].
  5. For example, see
    L. D. Landau and E. M. Lifshitz, Quantum Mechanics – Nonrelativistic Theory (Izdatelśtvo “Nauka”, Moscow, 1963).

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 80 No. 3 (1988) pp. 559-565 :
    Calculatin of β-Functions Up to Two-Loop Order in φ4 Theory Based on Stochastic Quantization Method
    Hiromichi Nakazato, Gentaro Takada, Hiroshi Soshi and Yoshiya Yamanaka
  2. Progress of Theoretical Physics Supplement No.111 (1993) pp. 1-41 :
    Basic Ideas of Stochastic Quantization
    Mikio Namiki
  3. Progress of Theoretical Physics Supplement No.111 (1993) pp. 263-274 :
    General Langevin Equation and Anomaly
    Satoshi Tanaka
  4. Progress of Theoretical Physics Supplement No.111 (1993) pp. 349-371 :
    Spectrum of the Fokker-Planck Hamiltonian in Minkowski Space
    Hiromichi Nakazato

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