Shapes of magnetic monopoles in effective $SU(2)$ models
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866915417192136704 |
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| author | Beneš, Petr Blaschke, Filip |
| author_facet | Beneš, Petr Blaschke, Filip |
| contents | We present a systematic exploration of a general family of effective $SU(2)$ models with an adjoint scalar. First, we discuss a redundancy in this class of models and use it to identify seemingly different, yet physically equivalent models. Next, we construct the Bogomol'nyi-Prasad-Sommerfield (BPS) limit and derive analytic monopole solutions. In contrast to the 't Hooft-Polyakov monopole, included here as a special case, these solutions tend to exhibit more complex energy density profiles. Typically, we obtain monopoles with a hollow cavity at their core where virtually no energy is concentrated; accordingly, most of the monopole's energy is stored in a spherical shell around its core. Moreover, the shell itself can be structured, with several "sub-shells". A recipe for the construction of these analytic solutions is presented. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2303_15602 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Shapes of magnetic monopoles in effective $SU(2)$ models Beneš, Petr Blaschke, Filip High Energy Physics - Theory Other Condensed Matter High Energy Physics - Phenomenology Pattern Formation and Solitons We present a systematic exploration of a general family of effective $SU(2)$ models with an adjoint scalar. First, we discuss a redundancy in this class of models and use it to identify seemingly different, yet physically equivalent models. Next, we construct the Bogomol'nyi-Prasad-Sommerfield (BPS) limit and derive analytic monopole solutions. In contrast to the 't Hooft-Polyakov monopole, included here as a special case, these solutions tend to exhibit more complex energy density profiles. Typically, we obtain monopoles with a hollow cavity at their core where virtually no energy is concentrated; accordingly, most of the monopole's energy is stored in a spherical shell around its core. Moreover, the shell itself can be structured, with several "sub-shells". A recipe for the construction of these analytic solutions is presented. |
| title | Shapes of magnetic monopoles in effective $SU(2)$ models |
| topic | High Energy Physics - Theory Other Condensed Matter High Energy Physics - Phenomenology Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2303.15602 |