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Prog. Theor. Phys. Vol. 62 No. 3 (1979) pp. 793-801

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Special Relativistic Limit of Gauge Theory of Gravitation

Toshiharu Kawai and Hideo Yoshida

Department of Physics, Osaka City University, Osaka 558

(Received March 15, 1979)

Abstract:

Special relativistic limit of the gauge theory of gravitation developed by Utiyama, Kibble, Hayashi and Bregman is discussed. In the limit, the energy-momentum conservation splits into the separate conservations for the matter field and for the gauge fields. The conservation law of the total spin angular momentum, which is inherent in this theory and might appear to contradict with the special relativistic theory of fields, is discussed in detail. For most Lagrangians other than the exceptional ones, not only the sum of the spin tensors of the gauge fields but also its divergence does not vanish even in the special relativistic limit and the total angular momentum conservation of the matter field is also obtained in this limit, and there arises no trouble. An interpretation of the conservation of the total angular momentum in the special relativistic theory of fields is also given.


URL : http://ptp.ipap.jp/link?PTP/62/793/
DOI : 10.1143/PTP.62.793

[ Full Text PDF : FREE ACCESS (600K) ] Citation:

References:

  1. R. Utiyama, Phys. Rev. 101 (1956), 1597[APS].
  2. T. W. B. Kibble, J. Math. Phys. 2 (1961), 212[CrossRef].
  3. K. Hayashi, Prog. Theor. Phys. 39 (1968), 494[PTP].
  4. K. Hayashi and A. Bregman, Ann. of Phys. 75 (1973), 562[CrossRef].
  5. C. N. Yang, Phys. Rev. Lett. 33 (1974), 445[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 73 No. 1 (1985) pp. 54-74 :
    Energy, Momentum and Angular Momentum in Poincaré Gauge Theory
    Kenji Hayashi and Takeshi Shirafuji
  2. Progress of Theoretical Physics Vol. 79 No. 4 (1988) pp. 920-935 :
    Energy-Momentum and Angular Momentum in \overlinePoincaré Gauge Theory of Gravity
    Toshiharu Kawai
  3. Progress of Theoretical Physics Vol. 79 No. 6 (1988) pp. 1420-1430 :
    Special Relativistic Limits of \overlinePoincaré Gauge Theory of Gravity
    Tetsuo Fukui, Toshiharu Kawai and Hirofumi Saitoh
  4. Progress of Theoretical Physics Vol. 81 No. 2 (1989) pp. 523-540 :
    A Spinor Approach to Poincaré Gauge Theory
    Shin-ichi Nakariki

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