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Prog. Theor. Phys. Vol. 65 No. 5 (1981) pp. 1732-1745

[ Full Text PDF : FREE ACCESS (479K) ]

High-Dimensional Formulation of a Spinning Particle Interacting with External Gauge Fields

Shigefumi Naka and Seiji Kojima

Atomic Energy Research Institute, College of Science and Technology, Nihon University, Tokyo 101

(Received December 25, 1980)

Abstract:

Supersymmetric formulation of a spinning particle interacting with external gauge fields is investigated based on the high-dimensional unification of the gravitational field and non-Abelian gauge fields. It is shown that, associated with the dimensional reduction from the (4 + N)-dimensional spacetime to the 4-dimensional spacetime and an extra N-dimensional (compact) space, the metric tensor in the extra subspace is absorbed into the mass term of the particle and generates discrete spectrum.


URL : http://ptp.ipap.jp/link?PTP/65/1732/
DOI : 10.1143/PTP.65.1732

[ Full Text PDF : FREE ACCESS (479K) ] Citation:

References:

  1. Th. Kaluza, Sitzungsber. Preuss. Akad. Wiss. (1921), 966.
    O. Klein, Z. Phys. 37 (1926), 895; Helv. Phys. Acta. Suppl. 4 (1956), 58.
    A. Einstein and P. G. Bergmann, Ann. Math. 2 (1938), 39; ibid. 2 (1938), 683.
    J. M. Souriau, Nuovo Cim. 30 (1951), 275.
    P. Jordan, Z. Phys. 157 (1956), 112.
    O. Hara, Prog. Theor. Phys. 21 (1959), 919[PTP].
    See also P. G. Bergmann, Introduction to the Theory of Relativity (Dover Publications, Inc., New York).
    B. De Witt, Dynamical Theory of Groups and Fields (Gordan and Breach, New York, 1965), p. 139.
  2. Y. M. Cho, J. Math. Phys. 16 (1975), 2029[CrossRef].
    Y. M. Cho and P. S. Jang, Phys. Rev. D 12 (1975), 3789[APS].
    Y. M. Cho and P. G. O. Freund, Phys. Rev. D 12 (1975), 1711[APS].
    L. N. Chang, K. I. Macrae and F. Mansouri, Phys. Rev. D 13 (1976), 235[APS].
    J. Rayski, Lett. Nuovo Cim. 21 (1978), 425.
    S. Tanaka. Prog. Theor. Phys. Suppl. No. 67 (1979), 282[PTP].
  3. J. Scherk and H. Schwarz, Nucl. Phys. B 153 (1979), 61.
    See also W. Mecklenburg and D. P. O'Brien, Lett. Nuovo Cim. 23 (1978), 566.
  4. S. Weinberg, Phys. Rev. Lett. 19 (1967), 1264[APS].
    A. Salam, Elementary Particle Theory, edited by N. Svartholm (Stockholm, 1968).
  5. L. Brink, S. Deser, B. Zumino, P. Di Vecchia and P. Howe, Phys. Lett. B 64 (1976), 435[CrossRef].
    L. Brink, P. Di Vecchia and P. Howe, Nucl. Phys. B 118 (1977), 76[CrossRef].
  6. S. Naka, S. Kojima and H. Kaseno, Prog. Theor. Phys. 64 (1980), 1065[PTP].
  7. P. Salomonson, Phys. Rev. D 18 (1978), 1868[APS].
  8. R. J. Finkelstein, Nonrelativistic Mechanics (W. A. Benjamin, Inc. 1973), Appendix E.
  9. W. Mecklenburg, Phys. Rev. D 21 (1980), 2149[APS].
  10. O. Hara and T. Gotō, Prog. Theor. Phys. 33 (1965), 907[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 66 No. 4 (1981) pp. 1477-1493 :
    Spontaneous Dimensional Reduction in Generalized Kaluza's High-Dimensional Theory
    Sho Tanaka
  2. Progress of Theoretical Physics Vol. 67 No. 6 (1982) pp. 1946-1965 :
    A Five Dimensional Unification of the Vierbein and Electromagnetic Fields
    Toshiharu Kawai
  3. Progress of Theoretical Physics Vol. 68 No. 2 (1982) pp. 698-701 :
    Mass Structure of the String in High-Dimensional Unified Theory
    Shigefumi Naka and Seiji Kojima
  4. Progress of Theoretical Physics Vol. 69 No. 4 (1983) pp. 1272-1290 :
    A Five Dimensional Unification of the Poincaré Gauge and Electromagnetic Fields
    Toshiharu Kawai
  5. Progress of Theoretical Physics Vol. 70 No. 2 (1983) pp. 563-583 :
    Harmonic Expansions of Fields and Fermion Mass Problem in Generalized Kaluza-Klein Theory
    Sho Tanaka
  6. Progress of Theoretical Physics Vol. 70 No. 5 (1983) pp. 1414-1423 :
    Induced Gravity in Higher-Dimensional Spacetime and the Mass Scale of the Kaluza-Klein Theory
    Shigefumi Naka and Chigaku Itoi
  7. Progress of Theoretical Physics Vol. 76 No. 5 (1986) pp. 1135-1149 :
    Planck Mass Problem in the Kaluza-Klein Theory with a Supersymmetric Extra Space
    Shigefumi Nara and Shinichi Deguchi

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