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Dynamics of excited self-dual vortices in the Abelian-Higgs model
- Part of
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- Journal:
- Journal of Nonlinear Waves / Volume 2 / 2026
- Published online by Cambridge University Press:
- 16 June 2026, e14
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We investigate the dynamical role of internal vibrational modes in the self-dual Abelian-Higgs model, focusing on how Derrick-type breathing excitations modify vortex dynamics and scattering processes. While unexcited BPS vortices follow geodesic motion leading to the well-known
$90^\circ$ scattering, initially excited vortices experience vibration-induced forces arising from the spectral flow of internal modes as the inter-vortex distance changes. This mechanism intensifies the resonant energy transfer between translational and vibrational channels, producing non-adiabatic dynamics, superelastic collisions and fractal structures in scattering diagrams.
