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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2209.06309 |
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| _version_ | 1866916613187436544 |
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| author | Florián, C. A. I. Casana, Rodolfo Santos, André C. |
| author_facet | Florián, C. A. I. Casana, Rodolfo Santos, André C. |
| contents | We investigate the existence of self-dual configurations in the restricted gauged baby Skyrme model enlarged with a $Z_2$--symmetry, which introduces a real scalar field. For such a purpose, we implement the Bogomol'nyi procedure that provides a lower bound for the energy and the respective self-dual equations whose solutions saturate such a bound. Aiming to solve the self-dual equations, we specifically focused on a class of topological structures called compacton. We obtain the corresponding numerical solutions within two distinct scenarios, each defined by a scalar field, allowing us to describe different magnetic media. Finally, we analyze how the compacton profiles change when immersed in each medium. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_06309 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Self-dual compact gauged baby skyrmions in a continuous medium Florián, C. A. I. Casana, Rodolfo Santos, André C. High Energy Physics - Theory Pattern Formation and Solitons We investigate the existence of self-dual configurations in the restricted gauged baby Skyrme model enlarged with a $Z_2$--symmetry, which introduces a real scalar field. For such a purpose, we implement the Bogomol'nyi procedure that provides a lower bound for the energy and the respective self-dual equations whose solutions saturate such a bound. Aiming to solve the self-dual equations, we specifically focused on a class of topological structures called compacton. We obtain the corresponding numerical solutions within two distinct scenarios, each defined by a scalar field, allowing us to describe different magnetic media. Finally, we analyze how the compacton profiles change when immersed in each medium. |
| title | Self-dual compact gauged baby skyrmions in a continuous medium |
| topic | High Energy Physics - Theory Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2209.06309 |