Boundary scattering in the ϕ 6 model

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.

Keywords

• Field Theories in Lower Dimensions
• Solitons Monopoles and Instantons
• Nonperturbative Effects