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Prog. Theor. Phys. Vol. 66 No. 4 (1981) pp. 1477-1493

[ Full Text PDF : FREE ACCESS (668K) ]

Spontaneous Dimensional Reduction in Generalized Kaluza's High-Dimensional Theory

Sho Tanaka

Department of Physics, Kyoto University, Kyoto 606

(Received June 12, 1981)

Abstract:

Generalized Kaluza's high-dimensional theory is formulated in a generally covariant and quantum theoretical way. It gives a clue to make the spontaneous dimensional reduction possible by realizing the non-vanishing vacuum expectation value of the 4-dimensional space-time field characteristic of Kaluza's theory. The gravitational constant and the gauge coupling constant are also generated through the vacuum expectation values of the metric tensor field. Fundamental particles with the internal structure are consistently described in this framework in the form satisfying the local SO(3 + n, 1) transformation invariance as well as the (4 + n)-dimensional general coordinate transformation invariance.


URL : http://ptp.ipap.jp/link?PTP/66/1477/
DOI : 10.1143/PTP.66.1477

[ Full Text PDF : FREE ACCESS (668K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 67 No. 6 (1982) pp. 1946-1965 :
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  2. Progress of Theoretical Physics Vol. 68 No. 2 (1982) pp. 698-701 :
    Mass Structure of the String in High-Dimensional Unified Theory
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  3. Progress of Theoretical Physics Vol. 69 No. 4 (1983) pp. 1272-1290 :
    A Five Dimensional Unification of the Poincaré Gauge and Electromagnetic Fields
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  4. 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
  5. Progress of Theoretical Physics Vol. 70 No. 2 (1983) pp. 584-592 :
    Gauge Symmetries in Generalized Kaluza-Klein Theories
    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

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