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.
Exploiting new classes of mass-dimension one fermions
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abstract
In this paper, we advance in investigating a specific set of eigenvectors of a linearly-independent square root of the identity matrix to obtain a new class of spin-half mass-dimension one fermions. Such eigenvectors, after an appropriated dual structure examination, may serve as expansion coefficients of a local field.
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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.