International Journal of Theoretical Physics

, Volume 28, Issue 4, pp 423–440 | Cite as

A nonlinear gauge-invariant field theory of leptons

  • F. I. Cooperstock
  • N. Rosen


A nonlinear, singularity-free, gauge-invariant field theory of leptons is proposed which incorporates the electron, muon, and tau. Fitting the known masses leads to a lepton radius of the order 10−16 cm, which is within the experimental range. The model considered suggests the possibility of a hierarchy of short-lived lepton states. Properties of the electron such as its energy-density distribution, Reissner-Nordström repulsion, and the fact that gravitation cannot play a significant role in its construction are discussed. All singularity-free charged particle models constructed from fields which were investigated approached the limit charge2= mass2 (in geometrical units) as gravitation became a dominant force. It is suggested that this property may have great generality. The interaction-energy integrals which bind the particles are seen to increase as the energy increases, and it is suggested that a similar mechanism may also be responsible for quark confinement in hadrons.


Field Theory Significant Role Elementary Particle Quantum Field Theory Charged Particle 
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Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • F. I. Cooperstock
    • 1
  • N. Rosen
    • 1
  1. 1.Department of PhysicsTechnion-Israel Institute of TechnologyHaifaIsrael

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