On the localized and delocalized modes in kink-antikink interactions: a toy model
Abstract This study deals with a piecewise ϕ 2 scalar field theory in (1 + 1) dimensions. The scalar field potential is designed with a triple-well shape, engendering kink solutions with asymmetric square-well linearized potentials. Thus, the localized and delocalized modes in this model can be obta...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)035 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832595066082820096 |
|---|---|
| author | Carlos E. S. Santos João G. F. Campos Azadeh Mohammadi |
| author_facet | Carlos E. S. Santos João G. F. Campos Azadeh Mohammadi |
| author_sort | Carlos E. S. Santos |
| collection | DOAJ |
| description | Abstract This study deals with a piecewise ϕ 2 scalar field theory in (1 + 1) dimensions. The scalar field potential is designed with a triple-well shape, engendering kink solutions with asymmetric square-well linearized potentials. Thus, the localized and delocalized modes in this model can be obtained analytically in terms of transcendental equations. This allows us to explore kink-antikink and antikink-kink collisions with any desired number of localized and delocalized modes. We obtain new scenarios of resonance windows suppression, shedding light on the role of higher excited modes in kink scattering. |
| format | Article |
| id | doaj-art-afabec8a5ac84b629d46613ea9706897 |
| 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-afabec8a5ac84b629d46613ea97068972025-01-19T12:07:12ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112410.1007/JHEP01(2025)035On the localized and delocalized modes in kink-antikink interactions: a toy modelCarlos E. S. Santos0João G. F. Campos1Azadeh Mohammadi2Departamento de Física, Universidade Federal de PernambucoFísica de Materiais, Universidade de PernambucoDepartamento de Física, Universidade Federal de PernambucoAbstract This study deals with a piecewise ϕ 2 scalar field theory in (1 + 1) dimensions. The scalar field potential is designed with a triple-well shape, engendering kink solutions with asymmetric square-well linearized potentials. Thus, the localized and delocalized modes in this model can be obtained analytically in terms of transcendental equations. This allows us to explore kink-antikink and antikink-kink collisions with any desired number of localized and delocalized modes. We obtain new scenarios of resonance windows suppression, shedding light on the role of higher excited modes in kink scattering.https://doi.org/10.1007/JHEP01(2025)035Solitons Monopoles and InstantonsField Theories in Lower Dimensions |
| spellingShingle | Carlos E. S. Santos João G. F. Campos Azadeh Mohammadi On the localized and delocalized modes in kink-antikink interactions: a toy model Journal of High Energy Physics Solitons Monopoles and Instantons Field Theories in Lower Dimensions |
| title | On the localized and delocalized modes in kink-antikink interactions: a toy model |
| title_full | On the localized and delocalized modes in kink-antikink interactions: a toy model |
| title_fullStr | On the localized and delocalized modes in kink-antikink interactions: a toy model |
| title_full_unstemmed | On the localized and delocalized modes in kink-antikink interactions: a toy model |
| title_short | On the localized and delocalized modes in kink-antikink interactions: a toy model |
| title_sort | on the localized and delocalized modes in kink antikink interactions a toy model |
| topic | Solitons Monopoles and Instantons Field Theories in Lower Dimensions |
| url | https://doi.org/10.1007/JHEP01(2025)035 |
| work_keys_str_mv | AT carlosessantos onthelocalizedanddelocalizedmodesinkinkantikinkinteractionsatoymodel AT joaogfcampos onthelocalizedanddelocalizedmodesinkinkantikinkinteractionsatoymodel AT azadehmohammadi onthelocalizedanddelocalizedmodesinkinkantikinkinteractionsatoymodel |