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Prog. Theor. Phys. Vol. 83 No. 5 (1990) pp. 1025-1053

[ Full Text PDF : FREE ACCESS (1170K) ]

Theory of a Spinor Field as a Part of the Space-Time Structure

Osamu Hara

Atomic Energy Research Institute, Nihon University, Tokyo 101

(Received December 27, 1989)

Abstract:

It is shown that in order to describe the motion of a particle with space-time extension in conformity with the theory of general relativity where the axiom of parallels is violated, it is necessary to introduce a new spinor field as a part of the space-time structure which is the angular part of a tetrad field preparing at every world point a tetrad to be used as the reference frame for the description of the rotational motion of such a particle. Some of its characteristic features are discussed on the one particle level on the basis of the Lagrangian formalism. Possible relation to supersymmetry is also noted, which arises through the quantization of this field.


URL : http://ptp.ipap.jp/link?PTP/83/1025/
DOI : 10.1143/PTP.83.1025

[ Full Text PDF : FREE ACCESS (1170K) ] Citation:

References:

  1. M. Green and J. Schwarz, Phys. Lett. 149B (1984), 117; ibid. 151B (1985), 21.
  2. D. Gross, J. Harvey, E. Martinec and R. Rohm, Phys. Rev. Lett. 54 (1985), 502[APS].
  3. P. Candelas, G. H. Horowitz, A. Strominger and E. Witten, Nucl. Phys. B258 (1985), 461.
  4. H. Yukawa, Phys. Rev. 77 (1950), 219[APS].
  5. Y. Katayama and H. Yukawa, Prog. Theor. Phys. Suppl. No. 41 (1968), 1[PTP].
  6. O. Hara and T. Goto, Prog. Theor. Phys. Suppl. No. 41 (1968), 56[PTP].
  7. T. Takabayasi, Prog. Theor. Phys. Suppl. No. 41 (1968), 130[PTP].
  8. S. Tanaka, Prog. Theor. Phys. Suppl. No. 41 (1968), 194[PTP].
  9. O. Hara, Prog. Theor. Phys. Suppl. No. 67 (1979), 115[PTP].
  10. M. Kaku and K. Kikkawa, Phys. Rev. D10 (1974), 1110[APS]; ibid. D10 (1974), 1823[APS].
  11. E. Cremmer and J. L. Gervais, Nucl. Phys. B76 (1974), 209; ibid. B90 (1975), 410.
  12. J. Hughes, J. Liu and J. Polchinski, Phys. Lett. 180B (1986), 370.
  13. E. Bergshoeff, E. Sezgin and P. K. Townsend, Phys. Lett. 189B (1987), 75.
  14. M. J. Duff, T. Inami, C. N. Pope, E. Sezgin and K. S. Stelle, Nucl. Phys. B297 (1988), 515.
  15. V. F. Bopp and R. Haag, Z. Naturforschg. 5a (1950), 644.
  16. H. Weyl, Z. Phys. 56 (1929), 330.
  17. E. Cartan, The Theory of Spinors (MIT Press, Cambridge, Mass.), 1966.
  18. T. Takabayasi, Prog. Theor. Phys. 23 (1960), 915[PTP].
  19. D. Bohm, P. Hillion, T. Takabayasi and J. P. Vigier, Prog. Theor. Phys. 23 (1960), 496[PTP].
  20. A. Salam and J. Strathdee, Nucl. Phys. B76 (1974), 477; ibid. B86 (1975), 142.
  21. O. Hara, Nuovo Cim. 75 (1983), 17.
  22. W. Pauli, Nuovo Cim. 6 (1957), 204.
  23. C. N. Yang, Phys. Rev. Lett. 33 (1974), 445[APS].
  24. T. T. Wu and C. N. Yang, Phys. Rev. D12 (1975), 3845[APS].
  25. J. C. Pati and A. Salam, Phys. Rev. D8 (1973), 1240[APS].
  26. H. Georgi and S. L. Glashow, Phys. Rev. Lett. 32 (1974), 438[APS].
  27. Z. Maki, Y. Ohnuki and S. Sakata, Proceedings of the International Conference on Elementary Particles, Kyoto, 1965.

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