Soliton confinement in the double sine-Gordon model
The double sine-Gordon field theory in the weak confinement regime is studied. It represents the small non-integrable deformation of the standard sine-Gordon model caused by the cosine perturbation with the frequency reduced by the factor of 2. This perturbation leads to the confinement of the sine-...
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| Format: | Article |
| Language: | English |
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SciPost
2024-02-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.16.2.042 |
| _version_ | 1797321203008929792 |
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| author | Sergei Rutkevich |
| author_facet | Sergei Rutkevich |
| author_sort | Sergei Rutkevich |
| collection | DOAJ |
| description | The double sine-Gordon field theory in the weak confinement regime is studied. It represents the small non-integrable deformation of the standard sine-Gordon model caused by the cosine perturbation with the frequency reduced by the factor of 2. This perturbation leads to the confinement of the sine-Gordon solitons, which become coupled into the 'meson' bound states. We classify the meson states in the weak confinement regime, and obtain three asymptotic expansions for their masses, which can be used in different regions of the model parameters. It is shown, that the sine-Gordon breathers, slightly deformed by the perturbation term, transform into the mesons upon increase of the sine-Gordon coupling constant. |
| first_indexed | 2024-03-08T04:54:10Z |
| format | Article |
| id | doaj.art-08dee6a2fbc041f7892470c25766360b |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-08T04:54:10Z |
| publishDate | 2024-02-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-08dee6a2fbc041f7892470c25766360b2024-02-07T16:15:15ZengSciPostSciPost Physics2542-46532024-02-0116204210.21468/SciPostPhys.16.2.042Soliton confinement in the double sine-Gordon modelSergei RutkevichThe double sine-Gordon field theory in the weak confinement regime is studied. It represents the small non-integrable deformation of the standard sine-Gordon model caused by the cosine perturbation with the frequency reduced by the factor of 2. This perturbation leads to the confinement of the sine-Gordon solitons, which become coupled into the 'meson' bound states. We classify the meson states in the weak confinement regime, and obtain three asymptotic expansions for their masses, which can be used in different regions of the model parameters. It is shown, that the sine-Gordon breathers, slightly deformed by the perturbation term, transform into the mesons upon increase of the sine-Gordon coupling constant.https://scipost.org/SciPostPhys.16.2.042 |
| spellingShingle | Sergei Rutkevich Soliton confinement in the double sine-Gordon model SciPost Physics |
| title | Soliton confinement in the double sine-Gordon model |
| title_full | Soliton confinement in the double sine-Gordon model |
| title_fullStr | Soliton confinement in the double sine-Gordon model |
| title_full_unstemmed | Soliton confinement in the double sine-Gordon model |
| title_short | Soliton confinement in the double sine-Gordon model |
| title_sort | soliton confinement in the double sine gordon model |
| url | https://scipost.org/SciPostPhys.16.2.042 |
| work_keys_str_mv | AT sergeirutkevich solitonconfinementinthedoublesinegordonmodel |