2014/12/31 by W.T. Cruz, W. T. Cruz, R.V. Maluf +5 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Field (mathematics) #Gravitation #Graviton #Noncommutative and Quantum Gravity Theories #Quantum #Quantum Mechanics and Non-Hermitian Physics #Scalar (mathematics) #Scalar field #Zero mode #hep-th
paper · pdf · doi:10.1016/j.aop.2015.10.016
published as Annals of Phys. 364 (2016) 25-34 · Revtex style, 16 pages, 6 figures, improved text, published version
openalex publication_date 2015/10/30 · arxiv created 2015/11/25 · arxiv updated 2015/11/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this work we study two types of five-dimensional braneworld models given by sine-Gordon potentials. In both scenarios, the thick brane is generated by a real scalar field coupled to gravity. We focus our investigation on the localization of graviton field and the behaviour of the massive spectrum. In particular, we analyse the localization of massive modes by means of a relative probability method in a Quantum Mechanics context. Initially, considering a scalar field sine-Gordon potential, we find a localized state to the graviton at zero mode. However, when we consider a double sine-Gordon potential, the brane structure is changed allowing the existence of massive resonant states. The new results show how the existence of an internal structure can aid in the emergence of massive resonant modes on the brane.