From Dirac Action to ELKO Action

Understand

A fundamental action, representing a mass dimension-transmuting operator between Dirac and ELKO spinor fields, is performed on the Dirac Lagrangian, in order to lead it into the ELKO Lagrangian.

• Such a dynamical transformation can be seen as a natural extension of the Standard Model that incorporates dark matter fields.
• The action of the mass dimension-transmuting operator on a Dirac spinor field, that defines and introduces such a mapping, is shown to be a composition of the Dirac operator and the non-unitary transformation that maps Dirac spinor fields into ELKO spinor fields, defined in a previous paper.
• This paper gives allowance for ELKO, as a candidate to describe dark matter, to be incorporated in the Standard Model.