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Spinor Field as Elementary Excitations of a System of Scalar Fields

机译:Spinor Field as Elementary Excitations of a System of Scalar Fields

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摘要

The Dirac field and its quanta are obtained from the imposition of an infinite member of Dirac 2nd 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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