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Spinor Field as Elementary Excitations of a System of Scalar Fields

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Abstract

The Dirac field and its quanta are obtained from the imposition of an infinite member of Dirac 2 nd class constraints on a system of complex scalar fields having an indefinite internal metric. The spin-1/2 character of the constrained system follows from constraint-induced coupling of the scalar system's independent internal and space-time symmetries, from constraint restrictions on allowed symmetries. The resulting spinor field quanta are seen to exist as a class of “elementary excitations” belonging to a dynamical algebra existing naturally within the system of complex scalar fields.

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Authors
  1. C. A. Uzes
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  2. A. O. Barut
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Uzes, C.A., Barut, A.O. Spinor Field as Elementary Excitations of a System of Scalar Fields. Foundations of Physics 28, 741–754 (1998). https://doi.org/10.1023/A:1018845703137

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  • DOI: https://doi.org/10.1023/A:1018845703137

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