Excited solutions in a Skyrme--Chern-Simons model in $2+1$ dimensions
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914437465636864 |
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| author | Navarro-Lérida, Francisco Tchrakian, D. H. |
| author_facet | Navarro-Lérida, Francisco Tchrakian, D. H. |
| contents | We study excited solutions in a Skyrme--Chern-Simons theory in $2+1$ dimensions. In particular, we emphasize the necessity of using a Lagrange multiplier method to obtain excited solutions, due to the appearance of a discontinuity when using a constraint compliant parametrization. These solutions are characterized by an integer number $p$, excited solutions corresponding to $p\neq 0$. The dependence of the global charges on the parameters is analyzed, showing non-standard behaviors. We also find that the presence of the Skyrme--Chern-Simons term does not alter significantly the pattern of energy levels, so $p=0$ solutions (fundamental solutions) have always the minimal energy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_01005 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Excited solutions in a Skyrme--Chern-Simons model in $2+1$ dimensions Navarro-Lérida, Francisco Tchrakian, D. H. High Energy Physics - Theory We study excited solutions in a Skyrme--Chern-Simons theory in $2+1$ dimensions. In particular, we emphasize the necessity of using a Lagrange multiplier method to obtain excited solutions, due to the appearance of a discontinuity when using a constraint compliant parametrization. These solutions are characterized by an integer number $p$, excited solutions corresponding to $p\neq 0$. The dependence of the global charges on the parameters is analyzed, showing non-standard behaviors. We also find that the presence of the Skyrme--Chern-Simons term does not alter significantly the pattern of energy levels, so $p=0$ solutions (fundamental solutions) have always the minimal energy. |
| title | Excited solutions in a Skyrme--Chern-Simons model in $2+1$ dimensions |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.01005 |