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Resonance structures in kink-antikink collisions in a deformed sine-Gordon model

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Abstract We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the ϕ4 model, and a ϕ6-like model with three degenerate vacua. We find… Click to show full abstract

Abstract We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the ϕ4 model, and a ϕ6-like model with three degenerate vacua. We find a rich variety of behaviours, including integrability breaking, resonance windows with increasingly irregular patterns, and new types of windows near the ϕ6-like regime. False vacua, extra kink modes and kink fragmentation play important roles in the explanations of these phenomena. Our numerical studies are backed up by detailed analytical considerations.

Keywords: antikink collisions; sine gordon; model; resonance; kink antikink

Journal Title: Journal of High Energy Physics
Year Published: 2021

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