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Prog. Theor. Phys. Vol. 54 No. 1 (1975) pp. 251-267

[ Full Text PDF : FREE ACCESS (1103K) ]

Canonical Quantization of a Relativistic String

Yūichi Chikashige and Kiyoshi Kamimura*

Institute of Physics, University of Tokyo, Komaba, Tokyo 153
*Department of Physics, Tokyo Metropolitan University, Tokyo 158

(Received November 16, 1974)

Abstract:

A free motion of a relativistic string is quantized by the use ofr Dirac's generalized canonical formalism. It is shown that only the light-like gauge is applied to quantization of this system and the result is the same as that of Goddard, Goldstone, Rebbi and Thorn which is obtained by a different method.
The relativistic quantum mechanics is constructed in this gauge when the dimension of space-time is twenty-six and the intercept of the leading trajectory is unity.


URL : http://ptp.ipap.jp/link?PTP/54/251/
DOI : 10.1143/PTP.54.251

[ Full Text PDF : FREE ACCESS (1103K) ] Citation:

References:

  1. Y. Namub, Lectures at the Copenhagen Summer Symposium (1970).
    T. Goto, Prog. Theor. Phys. 46 (1971), 1560[PTP].
    For a review of the string model, see S. Mandelstam, Phys. Rep. 13 (1974), 259 [CrossRef]
    Further references are found in this article.
  2. P. Goddard, J. Goldstone, C. Rebbi and C. B. Thorn, Nucl. Phys. B 56 (1973), 109[CrossRef].
  3. P.A.M. Dirac, Can. J. Math. 2 (1950), 129; Proc. Roy. Soc. A 246 (1958), 326; Phys. Rev. 114 (1959), 924[APS].
  4. A. Patrasciou, Nucl. Phys. B 81 (1974), 525[CrossRef].
  5. P. Bergman and I. Goldbert, Phys. Rev. 98 (1955), 531[APS].
    T. Yamanouchi, R. Uchiyama and T. Nakano, Theory of General Relativity and Gravity (in Japanese) (Syōkabō, Tokyo, 1967).
  6. L. D. Faddeev, Theor. Math. Phys. 1 (1970), 1.
  7. P.A.M. Dirac, Rev. Mod. Phys. 21 (1949), 392[APS].
  8. T. Takabayasi, Prog. Theor. Phys. 46 (1971), 1924[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 57 No. 2 (1977) pp. 632-642 :
    Field Theory in 2 + ε Dimensions and Critical Dimension in the String Model. I
    Yūichi Chikashige and Yasunori Fujii
  2. Progress of Theoretical Physics Vol. 57 No. 3 (1977) pp. 1038-1054 :
    Field Theory in 2+ε Dimensions and Critical Dimension in the String Model. II
    Yūichi Chikashige and Yasunori Fujii
  3. Progress of Theoretical Physics Vol. 58 No. 6 (1977) pp. 1984-1997 :
    Lorentz Invariant String Regularized Dimensionally by Means of Hyperfunctions. I
    Yūichi Chikashige, Yasunori Fujii and Kotaro Mima
  4. Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 274-288 :
    Lorentz Invariant String Regularized Dimensionally by Means of Hyperfunctions. II
    Yūichi Chikashige, Yasunori Fujii and Kotaro Mima
  5. Progress of Theoretical Physics Vol. 62 No. 2 (1979) pp. 508-521 :
    Massive String Model of Mesons and Baryons
    Kiyoshi Kamimura
  6. Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1704-1718 :
    Differential Form Description of Geometrical Model of Hadrons in Space-Time
    Kiyoshi Kamimura
  7. Progress of Theoretical Physics Vol. 73 No. 2 (1985) pp. 476-495 :
    Canonical Formulation of Superstring
    Takayuki Hori and Kiyoshi Kamimura

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