Abstract

Abstract The mass dimension one fermionic field associated with Elko satisfies the Klein–Gordon but not the Dirac equation. However, its propagator is not a Green's function of the Klein–Gordon operator. We propose an infinitesimal deformation to the propagator such that it admits an operator in which the deformed propagator is a Green's function. The field is still of mass dimension one, but the resulting Lagrangian is modified in accordance with the operator.

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