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 dimension is one. We conclude by providing an up-to-date bibliography on the subject.
- Publication:
-
International Journal of Modern Physics D
- Pub Date:
- March 2014
- DOI:
- 10.1142/S0218271814300262
- Bibcode:
- 2014IJMPD..2330026A
- Keywords:
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- Elko;
- Mass dimension one fermions;
- 11.30.Er;
- 30.70.+k;
- 11.10.-z;
- Charge conjugation parity time reversal and other discrete symmetries;
- Field theory