From Dirac spinor fields to ELKO

Details From Dirac spinor fields to ELKO From Dirac spinor fields to ELKO

2007-11-07

arxiv.org/abs/0711.1103v1

J.Math.Phys.48:123517,2007

Physics

Mathematical Physics

10 pages

Scientific paper

10.1063/1.2825840

Dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor fields) belong, together with Majorana spinor fields, to a wider class of spinor fields, the so-called flagpole spinor fields, corresponding to the class (5), according to Lounesto spinor field classification based on the relations and values taken by their associated bilinear covariants. There exists only six such disjoint classes: the first three corresponding to Dirac spinor fields, and the other three respectively corresponding to flagpole, flag-dipole and Weyl spinor fields. This paper is devoted to investigate and provide the necessary and sufficient conditions to map Dirac spinor fields to ELKO, in order to naturally extend the Standard Model to spinor fields possessing mass dimension one. As ELKO is a prime candidate to describe dark matter, an adequate and necessary formalism is introduced and developed here, to better understand the algebraic, geometric and physical properties of ELKO spinor fields, and their underlying relationship to Dirac spinor fields.

Affiliated with

Also associated with

No associations

Rating

From Dirac spinor fields to ELKO does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with From Dirac spinor fields to ELKO, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From Dirac spinor fields to ELKO will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-502649