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Prog. Theor. Phys. Vol. 51 No. 1 (1974) pp. 262-283

[ Full Text PDF : FREE ACCESS (1850K) ]

Theory of Relativistic String and Super-Wave Equation. I

Takehiko Takabayasi

Department of Physics, Nagoya University, Nagoya

(Received June 19, 1973; Revised October 29, 1973)

Abstract:

In this and succeeding papers we reconstruct the theory of relativistic string, taken as a model of hadrons, in a general and unifying framework. In this paper the classical foundation of the “realistic” string theory is clarified. The theory is derived from the action integral which is invariant under “partial general transformation” on the parameters (σ, τ) for the world sheet traced by a motion of the string, and the fundamental equations are originally covariant under this group. Then by choosing a suitable gauge we obtain Lorentz-covariant formalism associated with constraints. We analyze is characteristics and obtain solutions. Taking another gauge we get the equivalent “Lorentz non-covariant formalism” free from constraint. This directly exhibits the physical meaning of the theory and also leads to its standard Hamiltonian formalism. Several conservation laws characteristic to our string theory are given.


URL : http://ptp.ipap.jp/link?PTP/51/262/
DOI : 10.1143/PTP.51.262

[ Full Text PDF : FREE ACCESS (1850K) ] Citation:

References:

  1. Y. Nambu, Proceedings of International Conference on Symmetries and Quark Models Gordon and Breach, 1970, p. 269.
  2. L. Susskind, Nuovo Cim. A 69 (1970), 457.
    cf. also S. Fubini, D. Gordon and G. Veneziano, Phys. Lett. B 29 (1969), 679[CrossRef].
  3. T. Takabayasi, Prog. Theor. Phys. 43 (1970), 1117[PTP].
  4. M. A. Virasoro, Phys. Rev. D 1 (1970), 2933[APS].
  5. T. Takabayasi, Prog. Theor. Phys. 44 (1970), 1429[PTP]; ibid. 46 (1971), 1528[PTP]; ibid. 46 (1971), 1924[PTP].
  6. O. Hara, Prog. Theor. Phys. 46 (1971), 1549[PTP].
  7. T. Goto, Prog. Theor. Phys. 46 (1971), 1560[PTP].
  8. Y. Tanikawa, Soryusiron Kenkyu (mimeographed circular in Japanese) 45 (1972), 103.
  9. F. Mansouri and Y. Nambu, Phys. Lett. B 39 (1972), 375[CrossRef].
  10. L. N. Chang and F. Mansouri, Phys. Rev. D 5 (1972), 2535[APS].
  11. G. Konisi, Prog. Theor. Phys. 48 (1972), 2008[PTP].
  12. P. Goddard, J. Goldstone, C. Rebbi and C. B. Thorn, Nucl. Phys. B 56 (1973), 109[CrossRef].
  13. T. Takabayasi, Prog. Theor. Phys. 49 (1973), 1724[PTP].
  14. T. Takabayasi, Lecture at X-th Coral Gables Conference on Fundamental Interactions (January 1973). For abstract see Fundamental Interactions in Physics (Plenum, 1973), p. 169.
  15. T. Takabayasi, Prog. Theor. Phys. 48 (1972), 1718[PTP].
  16. T. Takabayasi, Prog. Theor. Phys. 47 (1972), 1026[PTP].
  17. C. Møller, The Theory of Relativity (Oxford, 1952).
  18. T. Takabayasi, Prog. Theor. Phys. 51 (1974), 571, [PTP](quoted as II).

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 51 No. 2 (1974) pp. 571-591 :
    Theory of Relativistic String and Super-Wave Equation. II
    Takehiko Takabayasi
  2. Progress of Theoretical Physics Vol. 52 No. 4 (1974) pp. 1376-1391 :
    Relativistic Bound State under the Hooke-Type Action-at-a-Distance
    Takehiko Takabayasi
  3. Progress of Theoretical Physics Vol. 52 No. 6 (1974) pp. 1910-1928 :
    General-Covariant Approach to Relativistic String Theory
    Takehiko Takabayasi
  4. Progress of Theoretical Physics Vol. 53 No. 4 (1975) pp. 1162-1177 :
    Strong Interaction Property of Double Dirac String
    Masasi Fujigaki
  5. Progress of Theoretical Physics Vol. 57 No. 3 (1977) pp. 1081-1083 :
    Relativistic Mechanics of Two Interacting Particles with Mass
    Tohru Sohkawa
  6. Progress of Theoretical Physics Vol. 57 No. 5 (1977) pp. 1749-1760 :
    Classical Theory of Open Membrane
    Hideki Kamo and Tohru Sohkawa
  7. Progress of Theoretical Physics Vol. 57 No. 6 (1977) pp. 2101-2115 :
    Non-Linear Strings
    Keiji Kikkawa, Masaaki Sato and Kunihiko Uehara
  8. Progress of Theoretical Physics Vol. 59 No. 6 (1978) pp. 2121-2132 :
    Exceptional Waves and Characteristic Shocks on Non-Linear Relativistic Strings
    T. Ruggeri and A. Strumìa
  9. Progress of Theoretical Physics Vol. 60 No. 1 (1978) pp. 323-325 :
    Multilocal Theory and Relativistic String
    Takehiko Takabayasi
  10. Progress of Theoretical Physics Vol. 62 No. 2 (1979) pp. 508-521 :
    Massive String Model of Mesons and Baryons
    Kiyoshi Kamimura
  11. Progress of Theoretical Physics Supplement No.86 (1986) pp. 81-92 :
    Theory of Relativistic String and Multilocal Model
    Takehiko Takabayasi

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