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.
From Dipole spinors to a new class of mass dimension one fermions
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abstract
In this letter, we investigate a quite recent new class of spin one-half fermions, namely \emph{Ahluwalia class-7 spinors}, endowed with mass dimensionality $1$ rather than $3/2$, being candidates to describe dark matter. Such spinors, under the Dirac adjoint structure, belongs to the Lounesto's class-6, namely dipole spinors. Up to our knowledge, dipole spinor fields have Weyl spinor fields as their most known representative, nonetheless, here we explore the \emph{dark} counterpart of the dipole spinors, which represents eigenspinors of the chirality operator.
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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.