Under Lorentz covariance, causality, and canonical quantization, the Wigner superposition field is shown to be uniquely realized by the Elko field, which has mass dimension one and Klein-Gordon kinematics.
On Wigner Degeneracy in Elko theory: Hermiticity and Dark Matter
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abstract
In this paper, we provide a set of Hermitian interactions for quantum fields based on Elko, considering the recent achievements concerning the most general form of singular spinors and Wigner degeneracy. We consider Hermiticity and renormalizability a criterion to define the derivative Elko-Higgs interaction as the suitable candidate for a dark coupling. Then, the free parameters of the model are fixed by cosmological constraints on the dark matter abundance, bounds on the Higgs invisible decays, and limits on the electron-dark matter scattering mediated by the Higgs.
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Wigner multiplets in QFT: from Wigner degeneracy to Elko fields
Under Lorentz covariance, causality, and canonical quantization, the Wigner superposition field is shown to be uniquely realized by the Elko field, which has mass dimension one and Klein-Gordon kinematics.