The most general cosmological dynamics for ELKO matter fields

Fabbri, Luca

doi:10.1016/j.physletb.2011.09.024

Cited by 51 publications

(54 citation statements)

References 26 publications

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“…Elko in the presence of torsion has been a subject of several insightful papers by Luca Fabbri. We refer the reader to these and related publications [93][94][95][96][97][98][99]. Cosmological solutions of 5D Einstein equations with Elko condensates were obtained by Tae Hoon Lee where it was found that there exist exponentially expanding cosmological solution even in the absence of a cosmological constant [100].…”

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confidence: 99%

The Theory of Local Mass Dimension One Fermions of Spin One Half

Ahluwalia

2017

Adv. Appl. Clifford Algebras

173

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Abstract. About a decade ago the present author in collaboration with Daniel Grumiller presented an 'unexpected theoretical discovery' of spin one-half fermions with mass dimension one [1,2]. In the decade that followed a significant number of groups explored intriguing mathematical and physical properties of the new construct. However, the formalism suffered from two troubling features, that of non-locality and a subtle violation of Lorentz symmetry. Here, we trace the origin of both 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, we provide a quantum theory of spin one-half fermions that is free from all the mentioned issues. The interactions of the new fermions are restricted to dimension-four quartic self interaction, and also to a dimensionfour coupling with the Higgs. A generalised Yukawa coupling of the new fermions with neutrinos provides an 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.

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confidence: 99%

The Theory of Local Mass Dimension One Fermions of Spin One Half

Ahluwalia

2017

Adv. Appl. Clifford Algebras

173

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“…The characterization of exotic singular spinor fields in Lounesto's classes has introduced new fermions, including mass dimension one matter quantum fields, that have been studied in [12], with immediate physical applications to the problem of dark matter, after the work in [13][14][15], with applications to the study of Hawking radiation [16]. Other aspects of spinors fields classifications can also be found in Ref.…”

Section: General Bilinear Covariants and Spinor Field Classesmentioning

confidence: 99%

Opening the Pandora’s box of quantum spinor fields

2018

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Lounesto's classification of spinors is a comprehensive and exhaustive algorithm that, based on the bilinears covariants, discloses the possibility of a large variety of spinors, comprising regular and singular spinors and their unexpected applications in physics and including the cases of Dirac, Weyl, and Majorana as very particular spinor fields. In this paper we pose the problem of an analogous classification in the framework of second quantization. We first discuss in general the nature of the problem. Then we start the analysis of two basic bilinear covariants, the scalar and pseudoscalar, in the second quantized setup, with expressions applicable to the quantum field theory extended to all types of spinors. One can see that an ampler set of possibilities opens up with respect to the classical case. A quantum reconstruction algorithm is also proposed. The Feynman propagator is extended for spinors in all classes.

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“…From the phenomenological point of view, Elko can be produced by Higgs interactions [26], and realise a particle, whose symmetries are governed by the Very Special Relativity (VSR) [37]. Some attempts to detect Elko at the LHC have been moreover proposed [26], as well as promising applications in cosmology [38,39].…”

Section: Introductionmentioning

confidence: 99%

Exotic Elko on string-like defects in six dimensions

Dantas¹,

Rocha²,

Almeida³

2017

EPL

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We analyse the trapping of eigenspinors of the charge conjugation operator with dual helicity (Elko), in thin and thick string-like models with codimension-2. Elko spinor fields describe mass dimension one fermions in four dimensions (and, correspondingly, mass dimension two fermions in six dimensions), that represent natural dark matter prime candidates. This dark spinor has many applications, from particle physics to cosmology. On the other hand, six-dimensional brane-world models have, among other prominent features, the spontaneous confinement of free spin 1 fields and a mechanism that explains the mass hierarchy of fundamental fermions. In this paper, we use scalar couplings in order to confine the zero mode of Elko in six dimensions. Moreover, we use the Elko dark spinor features to propose an exotic coupling in order to remove the complex-valued terms in the massive Kaluza-Klein modes. Hence, we show that six dimensional models can resolve the main issues of Elko fields confinement presented in five dimensions.

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The most general cosmological dynamics for ELKO matter fields

Cited by 51 publications

References 26 publications

The Theory of Local Mass Dimension One Fermions of Spin One Half

The Theory of Local Mass Dimension One Fermions of Spin One Half

Opening the Pandora’s box of quantum spinor fields

Exotic Elko on string-like defects in six dimensions

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