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arXiv · 2311.06466

Quantization of Second Order Fermions

Rodolfo Ferro-Hernández·Julio Olmos·Eduardo Peinado·Carlos A. Vaquera-Araujo
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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.

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Rodolfo Ferro-Hernández, Julio Olmos, Eduardo Peinado, Carlos A. Vaquera-Araujo. 2023-11-11. Quantization of Second Order Fermions. https://doi.org/10.1103/physrevd.109.085003

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