Elko and mass dimension one field of spin one half: causality and Fermi statistics
Abstract
We review how Elko arise as an extension of complex valued four-component Majorana spinors. This is followed by a discussion that constrains certain elements of phase freedom. A proof is reviewed that unambiguously establishes that Elko, and for that matter the indicated Majorana spinors, cannot satisfy Dirac equation. They, however do, as they must, satisfy spinorial Klein-Gordon equation. We then introduce a quantum field with Elko as its expansion coefficients and show that it is causal, satisfies Fermi statistics, and then refer to the existing literature to remind that its mass dimensionally is one. We conclude by providing an up-to-date bibliography on the subject.
Cite
@article{arxiv.1502.01940,
title = {Elko and mass dimension one field of spin one half: causality and Fermi statistics},
author = {Dharam Vir Ahluwalia and Alekha Chandra Nayak},
journal= {arXiv preprint arXiv:1502.01940},
year = {2015}
}
Comments
To appear as the opening paper of a Special Issue of the International Journal of Modern Physics D devoted to Elko and Mass dimension one fermions. Editors: Dharam Vir Ahluwalia, Julio M. Hoff da Silva, Cheng-Yang Lee, and Roldao da Rocha