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.
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References
P.L. Nash, J. Math. Phys 27, 1185 (1986).
E. Cartan, Lecons sur la theorie des spineurs (Hermann and Cie, Paris, 1938 ), Vols. I and II.
C. C. Chevalley, The Algebraic Theory of Spinors ( Columbia U.P., New York, 1954 ).
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© 1986 Springer Science+Business Media New York
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Nash, P.L. (1986). Vector-Scalar Version of the Dirac Lagrangian. In: Gruber, B., Lenczewski, R. (eds) Symmetries in Science II. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1472-2_33
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DOI: https://doi.org/10.1007/978-1-4757-1472-2_33
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-1474-6
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