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Main Authors: Alonso-Izquierdo, Alberto, Bachmaier, Maximilian, Wereszczynski, Andrzej
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.04495
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author Alonso-Izquierdo, Alberto
Bachmaier, Maximilian
Wereszczynski, Andrzej
author_facet Alonso-Izquierdo, Alberto
Bachmaier, Maximilian
Wereszczynski, Andrzej
contents We analyze how the geodesic motion in the 3- and 4-vortex sectors of the Abelian-Higgs model at critical coupling is deformed by the excitation of a massive bound mode. We find that the geodesics corresponding to BPS solutions with enhanced symmetry remain unchanged, although the direction of the actual motion depends on the mode-generated force, i.e., a force arising from the change of the mode frequency along the geodesic. In a generic case, for example in head-on collisions between the axially symmetric 1- and 2-vortex or between two 2-vortices, the vortex trajectories can differ strongly from the BPS geodesic. This enhances the chaotic behavior in the formation of the final state.
format Preprint
id arxiv_https___arxiv_org_abs_2603_04495
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle From BPS geodesics to mode-driven dynamics in the scattering of multiple BPS vortices
Alonso-Izquierdo, Alberto
Bachmaier, Maximilian
Wereszczynski, Andrzej
High Energy Physics - Theory
High Energy Physics - Phenomenology
Chaotic Dynamics
We analyze how the geodesic motion in the 3- and 4-vortex sectors of the Abelian-Higgs model at critical coupling is deformed by the excitation of a massive bound mode. We find that the geodesics corresponding to BPS solutions with enhanced symmetry remain unchanged, although the direction of the actual motion depends on the mode-generated force, i.e., a force arising from the change of the mode frequency along the geodesic. In a generic case, for example in head-on collisions between the axially symmetric 1- and 2-vortex or between two 2-vortices, the vortex trajectories can differ strongly from the BPS geodesic. This enhances the chaotic behavior in the formation of the final state.
title From BPS geodesics to mode-driven dynamics in the scattering of multiple BPS vortices
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
Chaotic Dynamics
url https://arxiv.org/abs/2603.04495