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Prog. Theor. Phys. Vol. 48 No. 3 (1972) pp. 1024-1036

[ Full Text PDF : FREE ACCESS (841K) ]

Difference Equation and Dual Resonance Model

Sigefumi Naka

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

(Received March 24, 1972)

Abstract:

Relativistic quantum mechanics of the particle obeying a difference equation is studied in connection with the dual resonance model. It is shown that such a system has finite time-like extension and leads to the same results as in the case of conventional string models of hadrons.


URL : http://ptp.ipap.jp/link?PTP/48/1024/
DOI : 10.1143/PTP.48.1024

[ Full Text PDF : FREE ACCESS (841K) ] Citation:

References:

  1. Y. Nambu, Proceedings of the International Conference on Symmetries and Quark Models (1969), p. 269.
    Y. Nambu, Lecture at the Copenhagen Summer Symposium, August (1970) (preprint).
    L. Susskind, Phys. Rev. D 1 (1970), 1182[APS].
    T. Takabayasi, Prog. Theor. Phys. 44 (1970), 1429[PTP]; ibid. 46 (1971), 1528[PTP].
  2. A. Pais and G. E. Uhlenbeck, Phys. Rev. 79 (1950), 145[APS].
  3. Y. Miyamoto, Prog. Theor. Phys. 43 (1970), 564[PTP].
  4. M. A. Virasoro, Phys. Rev. D 1 (1970), 2933[APS].
  5. O. Hara, Prog. Theor. Phys. 46 (1971), 1549[PTP].
    T. Gotō, Prog. Theor. Phys. 46 (1971), 1560[PTP].
  6. Y. Katayama and H. Yukawa, Prog. Theor. Phys. Suppl. No. 41 (1968), 1[PTP]; ibid. No. 41 (1968), 22[PTP].
  7. I. I. Hirschman and D. V. Widder, The Convolution Transform (Princeton Univ. Press, 1955).

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 1051-1058 :
    Difference Equation and an Extended Particle Model of Hadrons
    Sigefumi Naka
  2. Progress of Theoretical Physics Vol. 105 No. 6 (2001) pp. 1017-1044 :
    Higher-Derivative Gravity and the AdS/CFT Correspondence
    Masafumi Fukuma, So Matsuura and Tadakatsu Sakai
  3. Progress of Theoretical Physics Vol. 107 No. 5 (2002) pp. 1085-1104 :
    Holographic Renormalization Group Structure in Higher-Derivative Gravity
    Masafumi Fukuma and So Matsuura
  4. 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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