Boundary scattering in the ϕ 6 model
Abstract We study the non-integrable 𝜙6 model on the half-line. The model has two topological sectors. We chose solutions from just one topological sector to fix the initial con ditions. The scalar field satisfies a Neumann boundary condition 𝜙 x (0, t) = H. We study the scattering of a kink (antik...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2019)147 |
| _version_ | 1818885046910582784 |
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| author | Fred C. Lima Fabiano C. Simas K. Z. Nobrega Adalto R. Gomes |
| author_facet | Fred C. Lima Fabiano C. Simas K. Z. Nobrega Adalto R. Gomes |
| author_sort | Fred C. Lima |
| collection | DOAJ |
| description | Abstract We study the non-integrable 𝜙6 model on the half-line. The model has two topological sectors. We chose solutions from just one topological sector to fix the initial con ditions. The scalar field satisfies a Neumann boundary condition 𝜙 x (0, t) = H. We study the scattering of a kink (antikink) with all possible regular and stable boundaries. For H = 0 the results are the same observed for scattering for the same model in the full line. For H ≠ 0, sensible modifications appear in the dynamics with several possibilities for the output depending on the initial velocity and the boundary. Our results are confronted with the topological structure and linear stability analysis of kink, antikink and boundary solutions. |
| first_indexed | 2024-12-19T15:59:13Z |
| format | Article |
| id | doaj.art-28c8ad141d6549f09945d3833a8b93ca |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-19T15:59:13Z |
| publishDate | 2019-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-28c8ad141d6549f09945d3833a8b93ca2022-12-21T20:14:58ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191013010.1007/JHEP10(2019)147Boundary scattering in the ϕ 6 modelFred C. Lima0Fabiano C. Simas1K. Z. Nobrega2Adalto R. Gomes3Departamento de Física, Universidade Federal do Maranhão (UFMA)Centro de Ciênciás Agrárias e Ambientais-CCAA, Universidade Federal do Maranhão (UFMA)Departamento de Eletro-Eletrônica, Instituto Federal de Educaçâo, Ciência e Tecnologia do Maranhão (IFMA)Departamento de Física, Universidade Federal do Maranhão (UFMA)Abstract We study the non-integrable 𝜙6 model on the half-line. The model has two topological sectors. We chose solutions from just one topological sector to fix the initial con ditions. The scalar field satisfies a Neumann boundary condition 𝜙 x (0, t) = H. We study the scattering of a kink (antikink) with all possible regular and stable boundaries. For H = 0 the results are the same observed for scattering for the same model in the full line. For H ≠ 0, sensible modifications appear in the dynamics with several possibilities for the output depending on the initial velocity and the boundary. Our results are confronted with the topological structure and linear stability analysis of kink, antikink and boundary solutions.http://link.springer.com/article/10.1007/JHEP10(2019)147Field Theories in Lower DimensionsSolitons Monopoles and InstantonsNonperturbative Effects |
| spellingShingle | Fred C. Lima Fabiano C. Simas K. Z. Nobrega Adalto R. Gomes Boundary scattering in the ϕ 6 model Journal of High Energy Physics Field Theories in Lower Dimensions Solitons Monopoles and Instantons Nonperturbative Effects |
| title | Boundary scattering in the ϕ 6 model |
| title_full | Boundary scattering in the ϕ 6 model |
| title_fullStr | Boundary scattering in the ϕ 6 model |
| title_full_unstemmed | Boundary scattering in the ϕ 6 model |
| title_short | Boundary scattering in the ϕ 6 model |
| title_sort | boundary scattering in the ϕ 6 model |
| topic | Field Theories in Lower Dimensions Solitons Monopoles and Instantons Nonperturbative Effects |
| url | http://link.springer.com/article/10.1007/JHEP10(2019)147 |
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