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Prog. Theor. Phys. Vol. 33 No. 5 (1965) pp. 907-931

[ Full Text PDF : FREE ACCESS (1644K) ]

Rigid Sphere Model of Elementary Particles and the Electromagnetic Field

Osamu Hara and Tetsuo Goto

Department of Physics and Atomic Energy Research Institute, Nihon University, Tokyo

(Received December 21, 1964)

Abstract:

As is well known, the isospin has been introduced in an intimate relation with the electromagnetic field. An attempt is made to derive this relation based upon the rigid sphere model of elementary particles, starting from the five dimensional theory proposed by Kaluza and Klein.
The field equation for the metric field is given uniquely by the requirement of general covariance. In the first approximation with respect to the square root of the gravitational constant, this equation reduces to Maxwell's equation with Q=eI3, where Q is the electric charge and I3 is the third componet of the isospin given by Nakano, Takabayasi and Vigier in their theories of the extended particle model of elementary particles. The fact that the electromagnetic field defines a special direction in the isospace follows very naturally from this field equation. Thus, in our approach all characteristic features of the electromagnetic field as well as the relation between the electromagnetic field and the isospin are derived as a necessary consequence of the theory, without any furthere specific assumptions.


URL : http://ptp.ipap.jp/link?PTP/33/907/
DOI : 10.1143/PTP.33.907

[ Full Text PDF : FREE ACCESS (1644K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 39 No. 1 (1968) pp. 203-227 :
    Deformable Sphere Model of Elementary Particles and its Relation to Quark
    Osamu Hara, Tetsuo Goto, S. Y. Tsai and Haruichi Yabuki
  2. Progress of Theoretical Physics Vol. 39 No. 4 (1968) pp. 1047-1068 :
    Green's Function of Bilocal Field Equations
    Takeshi Shirafuji
  3. 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
  4. Progress of Theoretical Physics Supplement No.67 (1979) pp. 115-208 :
    Dynamical Theory of Hadrons Based upon Extended Particle Picture
    Osamu Hara

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