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arXiv · 2505.21708

Second-order pseudo-Hermitian spin-$1/2$ bosons

A. de la C. Rangel-Pantoja·I. Díaz-Saldaña·Carlos A. Vaquera-Araujo
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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.

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A. de la C. Rangel-Pantoja, I. Díaz-Saldaña, Carlos A. Vaquera-Araujo. 2025-05-27. Second-order pseudo-Hermitian spin-$1/2$ bosons. https://doi.org/10.3390/universe11120400

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