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Collective Coordinate Models for 2-Vortex Shape Mode Dynamics

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arxiv 2405.20249 v1 pith:LUNQXDF7 submitted 2024-05-30 hep-th

classification hep-th
keywords modemodelsexcitedflowgeodesicmodulimotionoscillations
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abstract

Models are developed for the motion of charge-2 Abelian Higgs vortices through the 2-vortex moduli space $M$, with the vortices excited by their shape mode oscillations. The models simplify to the well-known geodesic flow on $M$, modified by a potential, when the mode oscillations are fast relative to the moduli space motion and their amplitudes are small. When the lowest-frequency mode is excited with a large amplitude, the geodesic flow is not a correct description. Instead, a chaotic, or even fractal, multi-bounce structure in vortex-vortex collisions is predicted.

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Forward citations

Cited by 2 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. 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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