CFT-approach to Rotating Field Lumps in Attractive Potential
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912634263044096 |
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| author | Galushkina, Yulia Kim, Eduard Nugaev, Emin Shnir, Yakov |
| author_facet | Galushkina, Yulia Kim, Eduard Nugaev, Emin Shnir, Yakov |
| contents | We demonstrate the importance of relativistic corrections for the study of the stability of $(2+1)$-dimensional non-topological solitons with quartic self-interaction in the low-energy limit. This result is explained by the restoration of conformal symmetry in the non-relativistic limit. Particularly, the corresponding cubic Gross-Pitaevskii equation supports scale-free non-topological solitons. An unbroken conformal symmetry provides the additional degeneration that allows for the exact result for the energy and angular momentum of the stationary classical solutions. We study the violation of conformal symmetry by relativistic corrections. The emergence of exponentially growing modes on the classical background is demonstrated using analytical approximations and numerical calculations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_10152 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | CFT-approach to Rotating Field Lumps in Attractive Potential Galushkina, Yulia Kim, Eduard Nugaev, Emin Shnir, Yakov High Energy Physics - Theory High Energy Physics - Phenomenology Pattern Formation and Solitons We demonstrate the importance of relativistic corrections for the study of the stability of $(2+1)$-dimensional non-topological solitons with quartic self-interaction in the low-energy limit. This result is explained by the restoration of conformal symmetry in the non-relativistic limit. Particularly, the corresponding cubic Gross-Pitaevskii equation supports scale-free non-topological solitons. An unbroken conformal symmetry provides the additional degeneration that allows for the exact result for the energy and angular momentum of the stationary classical solutions. We study the violation of conformal symmetry by relativistic corrections. The emergence of exponentially growing modes on the classical background is demonstrated using analytical approximations and numerical calculations. |
| title | CFT-approach to Rotating Field Lumps in Attractive Potential |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2507.10152 |