Collective coordinates method for long-range kink collisions
Abstract In this paper, we explored a class of potentials with three minima that support kink solutions exhibiting one long-range tail. We analyzed antikink-kink interactions using an effective Lagrangian based on collective coordinates and compared the results to those obtained from full dynamical...
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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)166 |
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| author | J. G. F. Campos A. Mohammadi T. Romanczukiewicz |
| author_facet | J. G. F. Campos A. Mohammadi T. Romanczukiewicz |
| author_sort | J. G. F. Campos |
| collection | DOAJ |
| description | Abstract In this paper, we explored a class of potentials with three minima that support kink solutions exhibiting one long-range tail. We analyzed antikink-kink interactions using an effective Lagrangian based on collective coordinates and compared the results to those obtained from full dynamical simulations. To this end, we constructed the collective coordinates with the antikink-kink configuration, and also a generalized Derrick mode, choosing the kink position and the Derrick mode amplitude as the moduli. For the antikink-kink configuration, we utilized the impurity ansatz proposed in [1]. We also studied the interaction of wobbling kinks where the lowest delocalized mode is excited. |
| format | Article |
| id | doaj-art-c34ab2026a1b47b69c5c815c9343b65a |
| 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-c34ab2026a1b47b69c5c815c9343b65a2025-02-09T12:08:05ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112110.1007/JHEP01(2025)166Collective coordinates method for long-range kink collisionsJ. G. F. Campos0A. Mohammadi1T. Romanczukiewicz2Física de Materiais, Universidade de PernambucoDepartamento de Física, Universidade Federal da PernambucoFaculty of Physics, Astronomy and Applied Computer Science, Jagiellonian UniversityAbstract In this paper, we explored a class of potentials with three minima that support kink solutions exhibiting one long-range tail. We analyzed antikink-kink interactions using an effective Lagrangian based on collective coordinates and compared the results to those obtained from full dynamical simulations. To this end, we constructed the collective coordinates with the antikink-kink configuration, and also a generalized Derrick mode, choosing the kink position and the Derrick mode amplitude as the moduli. For the antikink-kink configuration, we utilized the impurity ansatz proposed in [1]. We also studied the interaction of wobbling kinks where the lowest delocalized mode is excited.https://doi.org/10.1007/JHEP01(2025)166Solitons Monopoles and InstantonsField Theories in Lower Dimensions |
| spellingShingle | J. G. F. Campos A. Mohammadi T. Romanczukiewicz Collective coordinates method for long-range kink collisions Journal of High Energy Physics Solitons Monopoles and Instantons Field Theories in Lower Dimensions |
| title | Collective coordinates method for long-range kink collisions |
| title_full | Collective coordinates method for long-range kink collisions |
| title_fullStr | Collective coordinates method for long-range kink collisions |
| title_full_unstemmed | Collective coordinates method for long-range kink collisions |
| title_short | Collective coordinates method for long-range kink collisions |
| title_sort | collective coordinates method for long range kink collisions |
| topic | Solitons Monopoles and Instantons Field Theories in Lower Dimensions |
| url | https://doi.org/10.1007/JHEP01(2025)166 |
| work_keys_str_mv | AT jgfcampos collectivecoordinatesmethodforlongrangekinkcollisions AT amohammadi collectivecoordinatesmethodforlongrangekinkcollisions AT tromanczukiewicz collectivecoordinatesmethodforlongrangekinkcollisions |