Analysis reveals real eigenvalues under time reversal in a pseudo-Hermitian theory of massive bosons, suggesting a new spin–statistics connection.
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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Rangel-Pantoja et al. (2025) studied this question.
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