Cuscuton kinks and branes

Andrade, I. (Departamento de Física, Universidade Federal da Paraíba, João Pessoa, PB, 58051-970, Brazil) ; Marques, M.A. (Departamento de Física, Universidade Federal da Paraíba, João Pessoa, PB, 58051-970, Brazil) ; Menezes, R. (Departamento de Ciências Exatas, Universidade Federal da Paraíba, Rio Tinto, PB, 58297-000, Brazil) (Departamento de Física, Universidade Federal da Paraíba, João Pessoa, PB, 58051-970, Brazil)

26 March 2019

Abstract: In this paper, we study a peculiar model for the scalar field. We add the cuscuton term in a standard model and investigate how this inclusion modifies the usual behavior of kinks. We find the first order equations and calculate the energy density and the total energy of the system. Also, we investigate the linear stability of the model, which is governed by a Sturm-Liouville eigenvalue equation that can be transformed in an equation of the Shcrödinger type. The model is also investigated in the braneworld scenario, where a first order formalism is also obtained and the linear stability is investigated. Surprisingly, the solutions are independent from the cuscuton term. We also show that this modification allows for the presence of analytical results in the variables that describe the transformed Schrödinger-like equation.


Published in: Nuclear Physics B 942 (2019) 188-204
Published by: Elsevier
DOI: 10.1016/j.nuclphysb.2019.03.016
License: CC-BY-3.0



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