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PTP Online Top > Supplement (1979) > No.67

Prog. Theor. Phys. Supplement No.67 (1979) pp. 282-334

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Extended Particle Model of Leptons and Quarks and Generalized Kaluza's Unified Field Theory

Sho Tanaka

Department of Physics, Kyoto University, Kyoto 606

Abstract:

As a unified model of leptons and quarks, a relativistic deformable rotator model is investigated. It gives a substantial interpretation to the Weinberg-Salam theory and brings several characteristic results: i) Intrinsic spin and weak-isospin of leptons and quarks are mutually inseparable quantities related to the rotational mode of the rotator, and each must have the SU2 structure. ii) There arise newly SU2 × SU2 freedoms from the rotational model of the principal exes of deformation of the rotator, which are assigned to two kinds of new flavor isospins, L and M. iii) Further, from the dilatation mode in the direction of each principal axis of deformation, the freedom of U3 is derived, and identified with the colour SU3c and the quantum number which discriminates between leptons and quarks. iv) For the consistent description of this kind of extended particles, it becomes necessary to introduce the framework of the (4 + n)-dimensional space of the generalized Kaluza's unified field theory, whose metric tensor γAB (A, B = 1, 2, …, 4 + n) naturally provides Yang-Mills fields Aµa(a = 1, 2, …, n) needed to localize internal symmetries of the extended particles, and scalar fields gab(a, b = 1, 2, …, n) identified with Higgs mesons, in addition to the gravitational tensor gµν. v) It predicts the existence of the fourth sequential doublets of leptons and quarks subsequent to (vτ, τ) and (t, b), together with possible more complicated excited-states of leptons and quarks.


URL : http://ptp.ipap.jp/link?PTPS/67/282/
DOI : 10.1143/PTPS.67.282

[ Full Text PDF : FREE ACCESS (3761K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 65 No. 5 (1981) pp. 1732-1745 :
    High-Dimensional Formulation of a Spinning Particle Interacting with External Gauge Fields
    Shigefumi Naka and Seiji Kojima
  2. Progress of Theoretical Physics Vol. 66 No. 4 (1981) pp. 1477-1493 :
    Spontaneous Dimensional Reduction in Generalized Kaluza's High-Dimensional Theory
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  3. Progress of Theoretical Physics Vol. 67 No. 2 (1982) pp. 357-374 :
    Theory of Relativistic Top and Electromagnetic Interaction
    Takehiko Takabayasi
  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
  7. Progress of Theoretical Physics Vol. 73 No. 1 (1985) pp. 306-309 :
    Self-Consistent Solutions of Kaluza-Klein Metric in Induced Gravity
    Chigaku Itoi and Sigefumi Naka
  8. Progress of Theoretical Physics Vol. 78 No. 1 (1987) pp. 166-175 :
    Einstein-Gravity in Fibre Bundle Formalism
    Kiyotaka Kakazu and Schuichi Matsumoto
  9. Progress of Theoretical Physics Vol. 79 No. 6 (1988) pp. 1431-1450 :
    Construction of N = 2 Supergravity on Principal Fibre Bundle
    Kiyotaka Kakazu and Schuichi Matsumoto
  10. Progress of Theoretical Physics Vol. 81 No. 4 (1989) pp. 743-747 :
    On the Lepton-Quark Masses
    Sho Tanaka
  11. Progress of Theoretical Physics Vol. 85 No. 1 (1991) pp. 131-139 :
    Horizontal Gauge Interactions as the Origin of Lepton-Quark Masses and Flavour Mixings
    Yasuhiko Nagoshi, Ken Nakanishi and Sho Tanaka

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