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

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arxiv 2106.09560 v1 pith:4KQNMWDV submitted 2021-06-17 hep-th

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

classification hep-th
keywords modelcollisionskinkkink-antikinklikeresonancesine-gordonvacua
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study kink-antikink collisions in a model which interpolates smoothly between the completely integrable sine-Gordon theory, the $\phi^4$ model, and a $\phi^6$-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 $\phi^6$-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.

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  1. Kink collisions in a two-dimensional gravity model

    hep-th 2026-07 conditional novelty 6.0

    In a 2D dilaton-gravity model, stronger gravity shifts kink-antikink bounce windows to higher speeds and narrows them, leaves a lasting contraction of the conformal scale, and produces no curvature singularity in the ...