On wyler's value for the fine-structure constant

  • Robert L. Pease
Article

Abstract

It would appear that one of Wyler's calculations of the fine-structure constant is based on an incorrect value of the coefficient of the Poisson kernel for Cartan's third (fourth) classical domain, and hence that the value of the fine-structure constant may not be derivable from Wyler's assumptions.

Keywords

Field Theory Elementary Particle Quantum Field Theory Poisson Kernel Classical Domain 

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References

  1. Adler, S. L. (1973). “Theories of the Fine Structure Constant,” inAtomic Physics,3, Smith, S. J., and Walters, G. K., eds., Plenum, New York.Google Scholar
  2. Cartan, E. (1935).Abhandlungen des mathematisches Seminars der Universität Hamburg,11, 116.Google Scholar
  3. Gilmore, R. (1972).Physical Review Letters,28, 462.Google Scholar
  4. Hua, L. K. (1963).Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains, American Mathematical Society Translations, New York, Vol. 6.Google Scholar
  5. Physics Today (1971). No. 8, 17; No. 11, 9.Google Scholar
  6. Piatetsky-Chapiro, I. I. (1966).Geométrie des domaines classiques et theorie des fonctions automorphes, Dunod, Paris.Google Scholar
  7. Robertson, B. (1971).Physical Review Letters,27, 1545.Google Scholar
  8. Schwartz, H. M. (1971).Nuovo Cimento Letters,2, 1259.Google Scholar
  9. Vigier, J. P. (1973).Nuovo Cimento Letters,7, 501.Google Scholar
  10. Wyler, A. (1969).Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences,A269, 743; translated (1971) as Stanford Linear Accelerator Center report No. SLAC TRANS-130.Google Scholar
  11. Wyler, A. (1971).Comptes Rendus Hebdomadaires des Seances de l'Academie des Sciences,A272, 186.Google Scholar
  12. Wyler, A. (undated, ca. 1972). “The Complex Light Cone, Symmetric Space of the Conformal Group,” Princeton, New Jersey Institute for Advanced Study preprint.Google Scholar

Copyright information

© Plenum Publishing Corporation 1977

Authors and Affiliations

  • Robert L. Pease
    • 1
  1. 1.Physics DepartmentState University CollegeNew Paltz

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