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Prog. Theor. Phys. Vol. 59 No. 2 (1978) pp. 633-645

[ Full Text PDF : FREE ACCESS (709K) ]

The Interaction of the Bi-Local Field with the External Field

Tetsuo Gotō and Kiyoshi Kamimura

Department of Physics and Atomic Energy Research Institute, College of Science and Technology, Nihon University, Tokyo 101

(Received October 6, 1977)

Abstract:

The wave equation of the bi-local field interacting with the external field is introduced on the basis of the bi-local field equation proposed previously. The subsidiary conditions are compatible with the wave equation in the interacting case.
As examples of the present formalism, the form factor and the scattering amplitudes are studied. The form factor is decreasing exponentially as t →-∞. The scattering amplitude arising from the exchange of the bi-local field in t-channel shows Regge behaviour.


URL : http://ptp.ipap.jp/link?PTP/59/633/
DOI : 10.1143/PTP.59.633

[ Full Text PDF : FREE ACCESS (709K) ] Citation:

References:

  1. K. Fujimura, T. Kobayashi and M. Namiki, Prog. Theor. Phys. 43 (1970), 73[PTP]; ibid. 44 (1970), 193[PTP].
    S. Ishida, K. Konno and Y. Yamazaki, Prog. Theor. Phys. 47 (1972), 313[PTP].
  2. 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].
  3. T. Gotō, Prog. Theor. Phys. 58 (1977), 1635[PTP].
  4. T. Takabayasi, Prog. Theor. Phys. 23 (1960), 915[PTP]; ibid. 25 (1961), 901[PTP].
  5. T. Gotō, Prog. Theor. Phys. 58 (1977), 1973[PTP].
  6. K. Kamimura, Prog. Theor. Phys. 58 (1977), 1947[PTP].
    K. Kamimura and T. Shimizu, NUP-A-77-17.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1746-1754 :
    Scattering Amplitude of Bi-Local Field in External Source
    Kiyoshi Kamimura and Tadayoshi Shimizu
  2. Progress of Theoretical Physics Vol. 59 No. 6 (1978) pp. 2133-2148 :
    Constraints, Center-of-Masses and Quantization for Relativistically Structured Systems
    Takehiko Takabayasi and Kenji Takeuchi
  3. Progress of Theoretical Physics Vol. 62 No. 6 (1979) pp. 1768-1778 :
    Elastic Scattering between Binary Quark-Antiquark System and Local Field
    Ikuo Sogami and Satoru Nishimoto
  4. Progress of Theoretical Physics Vol. 71 No. 3 (1984) pp. 648-655 :
    Elimination of Redundant Variables in a Partially Supersymmetric Bi-Local Model
    Shigefumi Naka and Hiroshi Kakuhata
  5. Progress of Theoretical Physics Vol. 87 No. 2 (1992) pp. 469-478 :
    Bi-Local Model with Additional Internal Dynamical Variables and Interaction with External Fields
    Shinji Abe and Shigefumi Naka
  6. 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

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