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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

Patrick Dorey , Anastasia Gorina , Ilya Perapechka , Tomasz Romańczukiewicz , Yakov Shnir This is my paper · ORCID
classification hep-th
keywords modelcollisionskinkkink-antikinklikeresonancesine-gordonvacua
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abstract

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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Kink collisions in a two-dimensional gravity model

    hep-th 2026-07 conditional novelty 6.0 of 10

    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 ...

  2. Localized Electromagnetic Perturbations on Vector Solitons

    hep-ph 2024-11 conditional novelty 5.0 of 10

    Proca balls in a theory with gauge kinetic coupling support a localized spherically symmetric electromagnetic vibrational mode whose spectrum has a delocalization gap and a revival branch.

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