The theory of local mass dimension one fermions of spin one half
type: Item
instance of: scholarly article
title: The theory of local mass dimension one fermions of spin one half
zbMATH Open document ID: 1386.81150
author: Dharam Vir Ahluwalia
published in: Advances in Applied Clifford Algebras
publication date: 2018-02-07T00:00:00Z
full work available at URL: https://arxiv.org/abs/1601.03188
review text: In the present paper, the author discusses the troubling features encountered in an earlier paper where an unexpected theoretical discovery of spin one-half fermions with mass dimension one was presented and traces the origin of of these issues to a hidden freedom in the definition of duals of spinors and the associated field adjoints. In the process, for the first time, a quantum theory of spin one-half fermions that is free from all the mentioned issues is provided. The interactions of the new fermions are restricted to dimension-four quartic self-interaction, and also to a dimension-four coupling with the Higgs. A generalised Yukawa coupling of the new fermions with neutrinos provides a hitherto unsuspected source of lepton-number violation. The new fermions thus present a first-principle dark matter partner to Dirac fermions of the standard model of high energy physics with contrasting mass dimensions -- that of three halves for the latter versus one of the former without mutating the statistics from fermionic to bosonic.
Mathematics Subject Classification ID: 81V25
Mathematics Subject Classification ID: 81V22
Mathematics Subject Classification ID: 81R25
Mathematics Subject Classification ID: 15A66
Mathematics Subject Classification ID: 83F05
zbMATH DE Number: 6835280
zbMATH Keywords: Elko
zbMATH Keywords: dark matter
zbMATH Keywords: Clifford algebras
zbMATH Keywords: mass dimension one fermions
zbMATH Keywords: charge conjugation
MaRDI profile type: Publication
OpenAlex ID: W3100258906
arXiv ID: 1601.03188
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DOI: 10.1007/S00006-017-0775-1
description: scientific article