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General Relativity and Gravitation

, Volume 7, Issue 4, pp 361–369 | Cite as

Weyl's geometry and massive vector fields

  • Robert W. Lind
Article
  • 42 Downloads

Abstract

Dirac's revitalization of Weyl's gauge invariant geometry is examined. Weyl's geometry is characterized by the breaking of the symmetries of charge conjugation (C) and time reversal (T), but not CT. When an attempt is made to introduce a very simple form of symmetry breaking material into the theory, it is found that the geometric role formerly played by the electromagnetic field is suddenly taken over by a very short range massive vector field.

Keywords

Vector Field Electromagnetic Field Simple Form Symmetry Breaking Differential Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Weyl, H. (1919).Ann. Phys. (Leipzig),59, 101; Weyl, H. (1921).Raum, Zeit, Materie, vierte erweiterte Auflage. Julius Springer, Berlin.Google Scholar
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    Dirac, P. A. M. (1973).Proc. R. Soc. London,A333, 403.Google Scholar
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    Dirac, P. A. M. (1938).Proc. R. Soc. London,A165, 199.Google Scholar
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    Eddington, A. S. (1922).The Mathematical Theory of Relativity. Cambridge University Press.Google Scholar
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    Tauber, G. E. (1969).J. Math. Phys.,10, 633.Google Scholar
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    Harrison, E. R. (1972).Phys. Today,25, December, 30.Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • Robert W. Lind
    • 1
  1. 1.Department of PhysicsWest Virginia Institute of TechnologyMontgomery

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