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Vector-Scalar Version of the Dirac Lagrangian

  • Patrick L. Nash

Abstract

Using the recent formulation of the exceptional equivalence of a pair of real Dirac spinors and a real spacetime vector plus four real scalars, the vector-scalar equivalent of the Dirac Lagrangian is derived. The field equations associated with this new Lagrangian describe the dynamical evolution of a spin-1/2 fermion whose corresponding wave function is not a complex Dirac spinor, but is instead a real spacetime vector plus four real scalars.

Keywords

Irreducible Representation Real Scalar Component Spinor Spinor Index Dirac Spinor 
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

  1. 1.
    P.L. Nash, J. Math. Phys 27, 1185 (1986).CrossRefGoogle Scholar
  2. 2.
    E. Cartan, Lecons sur la theorie des spineurs (Hermann and Cie, Paris, 1938 ), Vols. I and II.Google Scholar
  3. 3.
    C. C. Chevalley, The Algebraic Theory of Spinors ( Columbia U.P., New York, 1954 ).Google Scholar

Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • Patrick L. Nash
    • 1
  1. 1.Division of Earth and Physical SciencesThe University of Texas at San AntonioSan AntonioGermany

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