Selfinteracting massdimension one fields for any spin
Abstract
According to Ahluwalia and Grumiller, massive spinhalf fields of massdimension one can be constructed using the eigenspinors of the chargeconjugation operator (Elko) as expansion coefficients. In this paper, we generalize their result by constructing quantum fields from higherspin Elko. The kinematics of these fields are thoroughly investigated. Starting with the field operators, their propagators and Hamiltonians are derived. These fields satisfy the higherspin generalization of the KleinGordon but not the Dirac equation. Independent of the spin, they are all of massdimension one and are thus endowed with renormalizable selfinteractions. These fields violate Lorentz symmetry. The violation can be characterized by a non Lorentzcovariant term that appears in the Elko spinsums. This term provides a decomposition of the generalized higherspin Dirac operator in the momentum space thus suggesting a possible connection between the massdimension one fields and the Lorentzinvariant fields.
 Publication:

arXiv eprints
 Pub Date:
 October 2012
 arXiv:
 arXiv:1210.7916
 Bibcode:
 2012arXiv1210.7916L
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 25 pages, no figures. Typos corrected. Accepted for publication at IJMPA