Boundary scattering in the ϕ6 model

Author:

Lima Fred C.,Simas Fabiano C.,Nobrega K. Z.,Gomes Adalto R.

Abstract

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.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

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