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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2505.08110 |
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| _version_ | 1866915286142156800 |
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| author | Antsipovich, Sergei |
| author_facet | Antsipovich, Sergei |
| contents | Isorotating ${\mathbb C}P^2$ Q-solitons in $2+1$ dimensions were studied. Hamiltonian formalism as a more physically meaningful yet fairly demanding approach was adopted during the investigation, which helped to exclude unobservable parameters such as angular frequencies and Lagrangian. This approach also highlighted the non-topological nature of the stabilization mechanism and revealed a number of similarities between well-known $U(1)$ Q-balls and ${\mathbb C}P^2$ isospinning solitons, thus rendering the latter a suitable extension of the former for the case of higher Lagrangian symmetry group and paving the way for further ${\mathbb C}P^N$ generalizations. Due to the peculiarities of the model, numerical optimisation algorithms were chosen to obtain the solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08110 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hamiltonian approach to isospinning ${\mathbb C}P^2$ solitons Antsipovich, Sergei High Energy Physics - Theory Isorotating ${\mathbb C}P^2$ Q-solitons in $2+1$ dimensions were studied. Hamiltonian formalism as a more physically meaningful yet fairly demanding approach was adopted during the investigation, which helped to exclude unobservable parameters such as angular frequencies and Lagrangian. This approach also highlighted the non-topological nature of the stabilization mechanism and revealed a number of similarities between well-known $U(1)$ Q-balls and ${\mathbb C}P^2$ isospinning solitons, thus rendering the latter a suitable extension of the former for the case of higher Lagrangian symmetry group and paving the way for further ${\mathbb C}P^N$ generalizations. Due to the peculiarities of the model, numerical optimisation algorithms were chosen to obtain the solutions. |
| title | Hamiltonian approach to isospinning ${\mathbb C}P^2$ solitons |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.08110 |