Elko and mass dimension one field of spin one-half: Causality and Fermi statistics
2014 ◽
Vol 23
(14)
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pp. 1430026
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Keyword(s):
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.
2016 ◽
Vol 116
(4)
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pp. 41001
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Keyword(s):
2013 ◽
Vol 88
(3)
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pp. 311-315
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Keyword(s):
2016 ◽
Vol 261
(12)
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pp. 6982-6999
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Keyword(s):
2010 ◽
Vol 31
(6)
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pp. 1499-1515
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Keyword(s):
2015 ◽
Vol 30
(11)
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pp. 1550048
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Keyword(s):
1999 ◽
Vol 16
(3)
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pp. 769-788
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Keyword(s):
2016 ◽
Vol 37
(1)
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pp. 81-98
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Keyword(s):