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Scattering of Vortices with Excited Normal Modes

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abstract

We consider head-on collisions at critical coupling of vortices modelled by the Abelian-Higgs model. We investigate the 2-vortex scattering, whereby the vortices are excited by the shape mode causing fluctuations in the gauge-invariant quantities. When the vortices are excited with a sufficiently large amplitude the moduli space approximation fails, and we observe an interesting behaviour in which the vortices can become trapped in a quasi-bound state with multiple bounces. We perform a detailed investigation on the behaviour of these excited vortices and sample a phase space of solutions. Interestingly, we find a fractal structure dependent on the initial phase of the mode and velocity of the vortices.

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2025 1

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representative citing papers

Oscillons and bubbles in $Q$-ball dynamics

hep-th · 2025-09-03 · conditional · novelty 6.0

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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  • Oscillons and bubbles in $Q$-ball dynamics hep-th · 2025-09-03 · conditional · none · ref 43 · internal anchor

    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.