Chaotic string motion in a near pp-wave limit
Abstract We revisit classical string motion in a near pp-wave limit of AdS5 × S5. It is known that the Toda lattice models are integrable. But if the exponential potential is truncated at finite order, then the system may become non-integrable. In particular, when the exponential potential in a thre...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2023)065 |
| _version_ | 1797836713413836800 |
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| author | Shodai Kushiro Kentaroh Yoshida |
| author_facet | Shodai Kushiro Kentaroh Yoshida |
| author_sort | Shodai Kushiro |
| collection | DOAJ |
| description | Abstract We revisit classical string motion in a near pp-wave limit of AdS5 × S5. It is known that the Toda lattice models are integrable. But if the exponential potential is truncated at finite order, then the system may become non-integrable. In particular, when the exponential potential in a three-particle periodic Toda chain is truncated at the third order of the dynamical variables, the resulting system becomes a well-known non-integrable system, Henon-Heiles model. The same thing may happen in a near pp-wave limit of AdS5 × S5, on which the classical string motion becomes chaotic. |
| first_indexed | 2024-04-09T15:13:22Z |
| format | Article |
| id | doaj.art-e13bb029669e48719bdb9cb038bb2482 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T15:13:22Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e13bb029669e48719bdb9cb038bb24822023-04-30T11:04:36ZengSpringerOpenJournal of High Energy Physics1029-84792023-01-012023111410.1007/JHEP01(2023)065Chaotic string motion in a near pp-wave limitShodai Kushiro0Kentaroh Yoshida1Department of Physics, Kyoto UniversityDepartment of Physics, Kyoto UniversityAbstract We revisit classical string motion in a near pp-wave limit of AdS5 × S5. It is known that the Toda lattice models are integrable. But if the exponential potential is truncated at finite order, then the system may become non-integrable. In particular, when the exponential potential in a three-particle periodic Toda chain is truncated at the third order of the dynamical variables, the resulting system becomes a well-known non-integrable system, Henon-Heiles model. The same thing may happen in a near pp-wave limit of AdS5 × S5, on which the classical string motion becomes chaotic.https://doi.org/10.1007/JHEP01(2023)065Integrable Field TheoriesLattice Integrable ModelsBosonic Strings |
| spellingShingle | Shodai Kushiro Kentaroh Yoshida Chaotic string motion in a near pp-wave limit Journal of High Energy Physics Integrable Field Theories Lattice Integrable Models Bosonic Strings |
| title | Chaotic string motion in a near pp-wave limit |
| title_full | Chaotic string motion in a near pp-wave limit |
| title_fullStr | Chaotic string motion in a near pp-wave limit |
| title_full_unstemmed | Chaotic string motion in a near pp-wave limit |
| title_short | Chaotic string motion in a near pp-wave limit |
| title_sort | chaotic string motion in a near pp wave limit |
| topic | Integrable Field Theories Lattice Integrable Models Bosonic Strings |
| url | https://doi.org/10.1007/JHEP01(2023)065 |
| work_keys_str_mv | AT shodaikushiro chaoticstringmotioninanearppwavelimit AT kentarohyoshida chaoticstringmotioninanearppwavelimit |