5D Elko spinor field non-minimally coupled to nonmetricity in f(Q) gravity

This paper aims to investigate the localization of the five-dimensional spinor field known as Elko (dual-helicity eigenspinors of the charge conjugation operator) by employing a Yukawa-like geometrical coupling in which the Elko field is non-minimally coupled to nonmetricity scalar Q. We adopt the b...

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Main Authors: F.M. Belchior, A.R.P. Moreira, R.V. Maluf, C.A.S. Almeida
Format: Article
Language:English
Published: Elsevier 2023-08-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269323003635
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author F.M. Belchior
A.R.P. Moreira
R.V. Maluf
C.A.S. Almeida
author_facet F.M. Belchior
A.R.P. Moreira
R.V. Maluf
C.A.S. Almeida
author_sort F.M. Belchior
collection DOAJ
description This paper aims to investigate the localization of the five-dimensional spinor field known as Elko (dual-helicity eigenspinors of the charge conjugation operator) by employing a Yukawa-like geometrical coupling in which the Elko field is non-minimally coupled to nonmetricity scalar Q. We adopt the braneworld scenarios in which the first-order formalism with sine-Gordon and linear superpotentials is employed to obtain the warp factors. A linear function supports the zero-mode trapping within the geometric coupling, leading to the same effective potential as the scalar field. Moreover, an exotic term must be added to obtain real-valued massive modes. Such modes are investigated through the Schrödinger-like approach.
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spelling doaj.art-71d1ed371e024a87b306d2ea8b3db2272023-07-21T04:58:22ZengElsevierPhysics Letters B0370-26932023-08-018431380295D Elko spinor field non-minimally coupled to nonmetricity in f(Q) gravityF.M. Belchior0A.R.P. Moreira1R.V. Maluf2C.A.S. Almeida3Universidade Federal do Ceará (UFC), Departamento de Física, Campus do Pici, Fortaleza - CE, C.P. 6030, 60455-760 - BrazilUniversidade Federal do Ceará (UFC), Departamento de Física, Campus do Pici, Fortaleza - CE, C.P. 6030, 60455-760 - BrazilUniversidade Federal do Ceará (UFC), Departamento de Física, Campus do Pici, Fortaleza - CE, C.P. 6030, 60455-760 - Brazil; Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia - CSIC. Universidad de Valencia, Burjassot-46100, Valencia, Spain; Corresponding author.Universidade Federal do Ceará (UFC), Departamento de Física, Campus do Pici, Fortaleza - CE, C.P. 6030, 60455-760 - BrazilThis paper aims to investigate the localization of the five-dimensional spinor field known as Elko (dual-helicity eigenspinors of the charge conjugation operator) by employing a Yukawa-like geometrical coupling in which the Elko field is non-minimally coupled to nonmetricity scalar Q. We adopt the braneworld scenarios in which the first-order formalism with sine-Gordon and linear superpotentials is employed to obtain the warp factors. A linear function supports the zero-mode trapping within the geometric coupling, leading to the same effective potential as the scalar field. Moreover, an exotic term must be added to obtain real-valued massive modes. Such modes are investigated through the Schrödinger-like approach.http://www.sciencedirect.com/science/article/pii/S0370269323003635Elko fieldDark matterThick braneSymmetric teleparallel gravity
spellingShingle F.M. Belchior
A.R.P. Moreira
R.V. Maluf
C.A.S. Almeida
5D Elko spinor field non-minimally coupled to nonmetricity in f(Q) gravity
Physics Letters B
Elko field
Dark matter
Thick brane
Symmetric teleparallel gravity
title 5D Elko spinor field non-minimally coupled to nonmetricity in f(Q) gravity
title_full 5D Elko spinor field non-minimally coupled to nonmetricity in f(Q) gravity
title_fullStr 5D Elko spinor field non-minimally coupled to nonmetricity in f(Q) gravity
title_full_unstemmed 5D Elko spinor field non-minimally coupled to nonmetricity in f(Q) gravity
title_short 5D Elko spinor field non-minimally coupled to nonmetricity in f(Q) gravity
title_sort 5d elko spinor field non minimally coupled to nonmetricity in f q gravity
topic Elko field
Dark matter
Thick brane
Symmetric teleparallel gravity
url http://www.sciencedirect.com/science/article/pii/S0370269323003635
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AT arpmoreira 5delkospinorfieldnonminimallycoupledtononmetricityinfqgravity
AT rvmaluf 5delkospinorfieldnonminimallycoupledtononmetricityinfqgravity
AT casalmeida 5delkospinorfieldnonminimallycoupledtononmetricityinfqgravity