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Collective coordinate model of kink-antikink collisions in $\phi^4$ theory

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arxiv 2106.05153 v2 pith:QIXGLDPT submitted 2021-06-09 hep-th

N. S. Manton , K. Oles , T. Romanczukiewicz , A. Wereszczynski This is my paper · ORCID
classification hep-th
keywords kink-antikinkmodeshapeamplitudecollisionsmodelseparationtheory
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abstract

The fractal velocity pattern in symmetric kink-antikink collisions in $\phi^4$ theory is shown to emerge from a dynamical model with two effective moduli, the kink-antikink separation and the internal shape mode amplitude. The shape mode usefully approximates Lorentz contractions of the kink and antikink, and the previously problematic null-vector in the shape mode amplitude at zero separation is regularized.

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Cited by 3 Pith papers

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

  1. Resonance phenomena in vortex-antivortex collisions

    hep-th 2025-10 conditional novelty 7.0 of 10

    Vortex–antivortex collisions in the deep type-II Abelian-Higgs model show multi-bounce windows embedded in annihilation regions, driven by a Feshbach resonant mode.

  2. 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 ...

  3. Oscillons and bubbles in $Q$-ball dynamics

    hep-th 2025-09 conditional novelty 6.0 of 10

    In the thin-wall regime, Q-ball-anti-Q-ball collisions are chaotic, driven by internal bound modes and ephemeral states, with false-vacuum bubbles stabilized by Goldstone modes as key intermediates.

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