Second-Order Pseudo-Hermitian Spin-1/2 Bosons

The canonical quantization of a field theory for spin-1/2 massive bosons that satisfy the Klein–Gordon equation is presented. The breakdown of the usual spin–statistics connection is due to the redefinition of the dual field, rendering the theory pseudo-Hermitian. The normal-ordered Hamiltonian is bounded from below with real eigenvalues, and the theory is consistent with microcausality and invariant under parity, charge conjugation and time reversal.

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Publication Details

Journal
Universe
Published
2025-12-05
DOI
https://doi.org/10.3390/universe11120400
Citations
1
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
article
Field-Weighted Citation Impact
1.25
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article

Second-Order Pseudo-Hermitian Spin-1/2 Bosons

Carlos A. Vaquera-Araujo, I. Díaz-Saldaña, Armando de la C. Rangel-Pantoja
1 citations
Universe
Quantum Mechanics and Non-Hermitian Physics
1.25
article

Second-Order Pseudo-Hermitian Spin-1/2 Bosons

Carlos A. Vaquera-Araujo, I. Díaz-Saldaña, Armando de la C. Rangel-Pantoja
article en
1 citations

Abstract

The canonical quantization of a field theory for spin-1/2 massive bosons that satisfy the Klein–Gordon equation is presented. The breakdown of the usual spin–statistics connection is due to the redefinition of the dual field, rendering the theory pseudo-Hermitian. The normal-ordered Hamiltonian is bounded from below with real eigenvalues, and the theory is consistent with microcausality and invariant under parity, charge conjugation and time reversal.

UniverseVol. 11(12)
Universidad de Guanajuato (MX), Secretaría de Ciencia, Humanidades, Tecnología e Innovación (MX), Universidad Autónoma de Zacatecas "Francisco García Salinas" (MX), Universidad de Colima (MX)
Openalex Percentile: Top 15%
Quantum Mechanics and Non-Hermitian Physics
1.25
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