Second-order pseudo-Hermitian spin- bosons
arXiv:2505.21708 · doi:10.3390/universe11120400
Abstract
The canonical quantization of a field theory for spin- 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.
arXiv comment8 pages
References in corpus (13)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Pseudo-Hermitian Representation of Quantum Mechanics
- The Waning of the WIMP? A Review of Models, Searches, and Constraints
- Perturbative Quantum Field Theory in the String-Inspired Formalism
- Closing in on singlet scalar dark matter: LUX, invisible Higgs decays and gamma-ray lines
- Semi-Lorentz invariance, unitarity, and critical exponents of symplectic fermion models
- Spin-half bosons with mass dimension three half: Evading the spin-statistics theorem
- Renormalization of the QED of self-interacting second order spin 1/2 fermions
- Poincaré symmetries and representations in pseudo-Hermitian quantum field theory
- On Wigner Degeneracy in Elko theory: Hermiticity and Dark Matter
- Renormalization of the second-order QCD with arbitrary chromomagnetic factor and quark self-interactions
- Quantization of Second Order Fermions