Boundary scattering in the ϕ 6 model

Abstract We study the non-integrable 𝜙6 model on the half-line. The model has two topological sectors. We chose solutions from just one topological sector to fix the initial con­ ditions. The scalar field satisfies a Neumann boundary condition 𝜙 x (0, t) = H. We study the scattering of a kink (antik...

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Bibliographic Details
Main Authors: Fred C. Lima, Fabiano C. Simas, K. Z. Nobrega, Adalto R. Gomes
Format: Article
Language:English
Published: SpringerOpen 2019-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2019)147
Description
Summary:Abstract We study the non-integrable 𝜙6 model on the half-line. The model has two topological sectors. We chose solutions from just one topological sector to fix the initial con­ ditions. The scalar field satisfies a Neumann boundary condition 𝜙 x (0, t) = H. We study the scattering of a kink (antikink) with all possible regular and stable boundaries. For H = 0 the results are the same observed for scattering for the same model in the full line. For H ≠ 0, sensible modifications appear in the dynamics with several possibilities for the out­put depending on the initial velocity and the boundary. Our results are confronted with the topological structure and linear stability analysis of kink, antikink and boundary solutions.
ISSN:1029-8479