Quantization of Second Order Fermions

Abstract

The quantization of a massive spin $1/2$ field that satisfies the Klein-Gordon equation is studied. The framework is consistent, provided it is formulated as a pseudo-hermitian quantum field theory by the redefinition of the field dual and the identification of an operator that modifies the inner product of states in Hilbert space to preserve a real energy spectrum and unitary evolution. Since the fermion field has mass dimension one, the theory admits renormalizable fermion self-interactions.

arXiv comment4 pages

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Cited by in corpus (3)

• Klein-Gordon equation within the real Hilbert space formalism
• Second-order pseudo-Hermitian spin-$1/2$ bosons
• Bosonic Spin-1 SOPHY