International Journal of Theoretical Physics

, Volume 17, Issue 12, pp 993–1002 | Cite as

A new approach to the theory of elementary domains

  • Toshiyuki Toyoda
  • Kunio Yasue


It is shown that Yukawa's theory of elementary domains can be formulated in a general framework. A quantized measure space structure of a space-time manifold is introduced so as to represent faithfully the elementary-domain structure. For a realization of elementary domains, an operator valued measure is defined such that it represents the spatiotemporal distribution of elementary domains. Effects of such a quantized topology are illustrated in the expressions ofS matrices.


Manifold Field Theory Elementary Particle Quantum Field Theory General Framework 
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Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • Toshiyuki Toyoda
    • 1
    • 2
  • Kunio Yasue
    • 1
    • 2
  1. 1.Department of Physics, College of General EducationNagoya UniversityJapan
  2. 2.Department of PhysicsNagoya UniversityNagoya

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