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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.04164 |
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| _version_ | 1866929376247939072 |
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| author | Krusch, Steffen Rees, Morgan Winyard, Thomas |
| author_facet | Krusch, Steffen Rees, Morgan Winyard, Thomas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04164 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scattering of Vortices with Excited Normal Modes Krusch, Steffen Rees, Morgan Winyard, Thomas Mathematical Physics High Energy Physics - Theory 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. |
| title | Scattering of Vortices with Excited Normal Modes |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.04164 |