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.
Classification of Singular Spinor Fields and Other Mass Dimension One Fermions
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abstract
We investigate the constraint equations of the Lounesto spinor fields classification and show that it can be used to completely characterize all the singular classes, which are potential accommodations for further mass dimension one fermions, beyond the well known Elko spinor fields. This result can be useful for two purposes: besides a great abridgement in the classification of a given spinor field, we provide a general form of each class of spinor fields, which can be used furthermore to search for a general classification of spinors dynamics.
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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.