Quantization of second-order fermions

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 dual field and the identification of an operator that modifies the inner p...

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Bibliographic Details
Published in:Physical review. D 2024-04, Vol.109 (8), Article 085003
Main Authors: Ferro-Hernández, Rodolfo, Olmos, Julio, Peinado, Eduardo, Vaquera-Araujo, Carlos A.
Format: Article
Language:English
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Summary: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 dual field 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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.109.085003