Normal modes of the small-amplitude oscillon
Abstract Consider a classical (1+1)-dimensional oscillon of small amplitude ϵ. To all orders in ϵ, the oscillon solution is exactly periodic. We study small perturbations of such periodic configurations. These perturbations are themselves periodic up to a monodromy matrix. We explicitly find the eig...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)039 |
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| author | Jarah Evslin Tomasz Romańczukiewicz Katarzyna Sławińska Andrzej Wereszczyński |
| author_facet | Jarah Evslin Tomasz Romańczukiewicz Katarzyna Sławińska Andrzej Wereszczyński |
| author_sort | Jarah Evslin |
| collection | DOAJ |
| description | Abstract Consider a classical (1+1)-dimensional oscillon of small amplitude ϵ. To all orders in ϵ, the oscillon solution is exactly periodic. We study small perturbations of such periodic configurations. These perturbations are themselves periodic up to a monodromy matrix. We explicitly find the eigenvectors of the monodromy matrix, which are the analogues of normal modes for oscillons. Dashen, Hasslacher and Neveu used such eigenvectors to quantize the sine-Gordon breather, and we suspect that they will be necessary to quantize the oscillon. Our results, regardless of the chosen model, suggest that low amplitude oscillons do not reflect small amplitude radiation. |
| format | Article |
| id | doaj-art-6097ce9d715d4590887e96e7cde42dd9 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-6097ce9d715d4590887e96e7cde42dd92025-01-19T12:07:28ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112710.1007/JHEP01(2025)039Normal modes of the small-amplitude oscillonJarah Evslin0Tomasz Romańczukiewicz1Katarzyna Sławińska2Andrzej Wereszczyński3Institute of Modern PhysicsInstitute of Theoretical Physics, Jagiellonian UniversityInstitute of Theoretical Physics, Jagiellonian UniversityInstitute of Theoretical Physics, Jagiellonian UniversityAbstract Consider a classical (1+1)-dimensional oscillon of small amplitude ϵ. To all orders in ϵ, the oscillon solution is exactly periodic. We study small perturbations of such periodic configurations. These perturbations are themselves periodic up to a monodromy matrix. We explicitly find the eigenvectors of the monodromy matrix, which are the analogues of normal modes for oscillons. Dashen, Hasslacher and Neveu used such eigenvectors to quantize the sine-Gordon breather, and we suspect that they will be necessary to quantize the oscillon. Our results, regardless of the chosen model, suggest that low amplitude oscillons do not reflect small amplitude radiation.https://doi.org/10.1007/JHEP01(2025)039Solitons Monopoles and InstantonsField Theories in Lower Dimensions |
| spellingShingle | Jarah Evslin Tomasz Romańczukiewicz Katarzyna Sławińska Andrzej Wereszczyński Normal modes of the small-amplitude oscillon Journal of High Energy Physics Solitons Monopoles and Instantons Field Theories in Lower Dimensions |
| title | Normal modes of the small-amplitude oscillon |
| title_full | Normal modes of the small-amplitude oscillon |
| title_fullStr | Normal modes of the small-amplitude oscillon |
| title_full_unstemmed | Normal modes of the small-amplitude oscillon |
| title_short | Normal modes of the small-amplitude oscillon |
| title_sort | normal modes of the small amplitude oscillon |
| topic | Solitons Monopoles and Instantons Field Theories in Lower Dimensions |
| url | https://doi.org/10.1007/JHEP01(2025)039 |
| work_keys_str_mv | AT jarahevslin normalmodesofthesmallamplitudeoscillon AT tomaszromanczukiewicz normalmodesofthesmallamplitudeoscillon AT katarzynasławinska normalmodesofthesmallamplitudeoscillon AT andrzejwereszczynski normalmodesofthesmallamplitudeoscillon |