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Prog. Theor. Phys. Vol. 59 No. 5 (1978) pp. 1746-1754

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Scattering Amplitude of Bi-Local Field in External Source

Kiyoshi Kamimura and Tadayoshi Shimizu*

Department of Physics and Atomic Energy Research Institute, College of Science and Technology, Nihon University, Tokyo 101
*Department of Radiology, Komazawa University, Tokyo 154
and
Department of Physics, Faculty of Science, Tokyo Metropolitan University, Tokyo 158

(Received October 15, 1977)

Abstract:

The subsidiary conditions which suppress the relative time freedom are eliminated in classical mechanics. Thereby the vertex operator of the bi-local field in an external field is composed of the independent dynamical variables. The form factor and the resonance amplitude obtained in this formulation agree with those given by the wave equation of bi-local field recently proposed by Gotō.


URL : http://ptp.ipap.jp/link?PTP/59/1746/
DOI : 10.1143/PTP.59.1746

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


References:

  1. T. Takabayasi, Prog. Theor. Phys. 54 (1975), 563[PTP]; ibid. 57 (1977), 331[PTP].
    T. Takabayasi and S. Kojima, Prog. Theor. Phys. 57 (1977), 2127[PTP].
  2. T. Gotō, Prog. Theor. Phys. 58 (1977), 1635[PTP]; ibid. 58 (1977) 1973[PTP].
  3. T. Gotō and K. Kamimura, Prog. Theor. Phys. 59 (1978), 633[PTP].
  4. K. Kamimura, Prog. Theor. Phys. 58 (1977), 1947[PTP].
  5. P. A. M. Dirac, Can. J. Math. 2 (1950), 129.
  6. T. Takabayasi, Nuovo Cim. 33 (1964), 668; Prog. Theor. Phys. Suppl. No. 41 (1968), 130[PTP].
  7. S. Ishida and J. Otokozawa, Prog. Theor. Phys. 47 (1972), 2117[PTP].
  8. T. Gotō and S. Naka, Prog. Theor. Phys. 51 (1974), 299[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Supplement No.67 (1979) pp. 69-114 :
    On the Bi-Local Model and String Model
    Tetsuo Gotō, Shigefumi Naka and Kiyoshi Kamimura