5D Elko spinor field non-minimally coupled to nonmetricity in $f(Q)$ gravity
| Autor: | Belchior, F. M., Moreira, A. R. P., Maluf, R. V., Almeida, C. A. S. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Lett. B, (2023), 138029 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.physletb.2023.138029 |
| Popis: | 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 Schr\"{o}dinger-like approach. Comment: 18 pages, 5 figures, matches published version in PLB |
| Databáze: | arXiv |
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