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Prog. Theor. Phys. Vol. 51 No. 1 (1974) pp. 299-308

[ Full Text PDF : FREE ACCESS (594K) ]

On the Vertex Function in the Bi-Local Field

Tetsuo Gotō and Sigefumi Naka

Department of Physics and Atomic Energy Research Institute,
College of Science and Engineering, Nihon University, Kanda, Tokyo

(Received July 14, 1973)

Abstract:

To make preparation for constructing the symmetric vertex function in the string model of hadrons, we study the symmetric vertex in the bi-local field model of hadrons. It is shown that the vertex operator is obtained by following the quark line picture and employing the vertex operator we can obtain the amplitude for the scattering of two bi-local fields. Unfortunately the asymptotic behaviour behaviour of the scattering amplitude obtained here is not good enough as a whole.


URL : http://ptp.ipap.jp/link?PTP/51/299/
DOI : 10.1143/PTP.51.299

[ Full Text PDF : FREE ACCESS (594K) ] Citation:

References:

  1. Y. Nambu, Proceedings of the International Conference on Symmetry and Quark Models (1969), p. 269.
    L. Susskind, Phys. Rev. D 1 (1970), 1182[APS].
    T. Takabayasi, Prog. Theor. Phys. 44 (1970), 1429[PTP].
  2. T. Gotō, Prog. Theor. Phys. 47 (1972), 2090[PTP].
    T. Gotō and T. Obara, Prog. Theor. Phys. 49 (1973), 322[PTP].
  3. See, for example, Y. Katayama, Prog. Theor. Phys. 8 (1952), 381[PTP].
  4. For example, see the following:
    T. Takabayasi, Prog. Theor. Phys. Suppl. No. 41 (1968), 130[PTP].
  5. T. Gotō, J. Otokozawa and T. Obara, Prog. Theor. Phys. 45 (1971), 1967[PTP].
  6. T. Gotō and S. Naka, Prog. Theor. Phys. 51 (1973), 600[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 51 No. 2 (1974) pp. 600-612 :
    On the Vertex Function in the String Model of Hadrons
    Tetsuo Gotō and Sigefumi Naka
  2. Progress of Theoretical Physics Vol. 55 No. 3 (1976) pp. 844-859 :
    A Dual String Model with Quantized Regge Slope
    Sigefumi Naka and Masakatsu Kenmoku
  3. Progress of Theoretical Physics Vol. 57 No. 6 (1977) pp. 2127-2143 :
    Relativistic Mechanics of Interacting Particles and Multi-Local Theory. I
    Takehiko Takabayasi and Seiji Kojima
  4. Progress of Theoretical Physics Vol. 58 No. 2 (1977) pp. 667-686 :
    Relativistic Mechanics for Two and Three Particles
    Masashi Fujigaki
  5. 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
  6. Progress of Theoretical Physics Vol. 76 No. 6 (1986) pp. 1379-1389 :
    Can the Membrane Be a Unification Model?
    Keiji Kikkawa and Masami Yamasaki
  7. 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
  8. Progress of Theoretical Physics Vol. 113 No. 3 (2005) pp. 645-656 :
    q-Deformed Bi-Local Fields
    Shigefumi Naka, Haruki Toyoda and Aiko Kimishima
  9. Progress of Theoretical Physics Supplement No.67 (1979) pp. 1-68 :
    Relativistic Mechanics of Confined Particles as Extended Model of Hadrons
    Takehiko Takabayasi
  10. 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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