Dynamics of Excited BPS 3-Vortices
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913701385207808 |
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| author | Alonso-Izquierdo, A. Manton, N. S. Guilarte, J. Mateos Rees, M. Wereszczynski, A. |
| author_facet | Alonso-Izquierdo, A. Manton, N. S. Guilarte, J. Mateos Rees, M. Wereszczynski, A. |
| contents | We analyze the dynamics of BPS 3-vortex solutions. First, for unexcited vortices, we study the 2-dimensional moduli space of centred vortices with $y \to -y$ symmetry, and its metric. We identify the 1-dimensional subspaces describing the head-on collisions of equidistant collinear and equilateral triangle configurations, where geodesic motion results in $90^\circ$ and 60^\circ$ scattering, respectively. Second, by studying the frequency spectrum of vibrational shape modes along these subspaces, we explain how the force-free, geodesic motion is modified by shape mode excitations into a pattern of chaotic multi-bounce collisions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_15087 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamics of Excited BPS 3-Vortices Alonso-Izquierdo, A. Manton, N. S. Guilarte, J. Mateos Rees, M. Wereszczynski, A. High Energy Physics - Theory We analyze the dynamics of BPS 3-vortex solutions. First, for unexcited vortices, we study the 2-dimensional moduli space of centred vortices with $y \to -y$ symmetry, and its metric. We identify the 1-dimensional subspaces describing the head-on collisions of equidistant collinear and equilateral triangle configurations, where geodesic motion results in $90^\circ$ and 60^\circ$ scattering, respectively. Second, by studying the frequency spectrum of vibrational shape modes along these subspaces, we explain how the force-free, geodesic motion is modified by shape mode excitations into a pattern of chaotic multi-bounce collisions. |
| title | Dynamics of Excited BPS 3-Vortices |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.15087 |