Solutions to the problem of Elko spinor localization in brane models

Jardim, I. C.; Alencar, G.; Landim, R. R.; Filho, R. N. Costa

doi:10.1103/physrevd.91.085008

Cited by 35 publications

(41 citation statements)

References 81 publications

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“…Localisation of Elko in the brane has been considered in references [91,92]. Elko in the presence of torsion has been a subject of several insightful papers by Luca Fabbri.…”

mentioning

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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“…Localisation of Elko in the brane has been considered in references [91,92]. Elko in the presence of torsion has been a subject of several insightful papers by Luca Fabbri.…”

mentioning

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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“…As a solution for this, geometrical couplings has been proposed recently, as can be seen in refs. [14][15][16][17].…”

Section: Jhep04(2015)003mentioning

confidence: 99%

Massive p-form trapping as a p-form on a brane

Jardim

Alencar

Landim

et al. 2015

J. High Energ. Phys.

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It is shown here that the zero mode of any form field can be trapped to the brane using the model proposed by Ghoroku and Nakamura. We start proven that the equations of motion can be obtained without splitting the field in even and odd parts. The massive and tachyonic cases are studied revealing that this mechanism only traps the zero mode. The result is then generalized to thick branes. In this scenario, the use of a delta like interaction of the quadratic term is necessary leading to a "mixed" potential with singular and smooth contributions. It is also shown that all forms produces an effective theory in the brane without gauge fixing. The existence of resonances with the transfer matrix method is then discussed. With this we analyze the resonances and look for peaks indicating the existence of unstable modes. Curiously no resonances are found in opposition of other models in the literature. Finally we find analytical solutions for arbitrary p-forms when a specific kind of smooth scenario is considered.

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“…[93,95]. However, the Yukawa-type coupling is not appropriate for all brane models and the expression of the coupling constant will be determined exactly by the parameters in the models.…”

Section: Localization Of Five-dimensional Elko Spinor With Non-minimamentioning

confidence: 99%

“…As what we have done in our previous work [93,95], we introduce the KK decomposition of the five-dimensional Elko spinor…”

Section: Localization Of Five-dimensional Elko Spinor With Non-minimamentioning

confidence: 99%

“…[93][94][95]. It was found that the zero mode of Elko spinor can be localized on branes thought a Yukawa-type coupling with the background scalar field [93,95], or the Ricci scalar [95]. However, the Yukawa-type coupling is only appropriate for some kinds of thick branes, and the coupling constant must be taken as some particular expression determined by the parameters in the brane models.…”

Section: Introductionmentioning

confidence: 99%

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Localization of five-dimensional Elko spinors with non-minimal coupling on thick branes

Zhou

Zhao

et al. 2018

Eur. Phys. J. C

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It has been found that the zero mode of a fivedimensional Elko spinor could be localized on branes by introducing a Yukawa-type coupling between the Elko spinor and the background scalar field or the Ricci scalar. However, the Yukawa-type coupling is not appropriate for all brane models. In this paper, we explore other localization mechanism for the Elko spinor by introducing the non-minimal coupling f (φ)L Elko between the five-dimensional Elko spinor and the background scalar field. We give the general expressions of the Elko zero mode and the function f (φ). Through two thick brane models and three concrete examples, we show that the Elko zero mode can be localized on the branes by this new mechanism. This provides us more possibilities of localizing the Elko zero mode.

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Solutions to the problem of Elko spinor localization in brane models

Cited by 35 publications

References 81 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

Massive p-form trapping as a p-form on a brane

Localization of five-dimensional Elko spinors with non-minimal coupling on thick branes

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