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

High Energy Physics - Theory 2025-12-09 v2

Abstract

The canonical quantization of a field theory for spin-1/21/2 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.

Keywords

Cite

@article{arxiv.2505.21708,
  title  = {Second-order pseudo-Hermitian spin-$1/2$ bosons},
  author = {A. de la C. Rangel-Pantoja and I. Díaz-Saldaña and Carlos A. Vaquera-Araujo},
  journal= {arXiv preprint arXiv:2505.21708},
  year   = {2025}
}

Comments

8 pages

R2 v1 2026-07-01T02:44:30.854Z