2014/11/25 by I. C. Jardim, G. Alencar, R. R. Landim +1 · 58 citations
Engineering · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Brane #Classical mechanics #Cosmology and Gravitation Theories #Coupling (piping) #Engineering #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Philosophy #Physics #Quantum mechanics #Scalar (mathematics) #Spinor #Spinor field #Theoretical physics #Yukawa potential #Zero (linguistics) #Zero mode #hep-th
paper · pdf · doi:10.1103/physrevd.91.085008
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 91(8) (American Physical Society) · 7 pages
arxiv created 2014/11/25 · openalex publication_date 2015/04/06 · arxiv updated 2015/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Two different solutions to the problem of the zero-mode localization of the Elko spinor are presented. The first solution is given by the introduction of a mass term and by coupling the spinor with the brane through a delta function. The second solution is reached by a Yukawa geometrical coupling with the Ricci scalar. These two models consistently change the boundary condition at infinity and at the origin. For the case of the geometrical coupling, we are able to show that the zero mode is localized for any smooth version of the Randall-Sundrum model.