Chaotic and thermal aspects in the highly excited string S-matrix
Abstract We compute tree level scattering amplitudes involving more than one highly excited states and tachyons in bosonic string theory. We use these amplitudes to understand the chaotic and thermal aspects of the excited string states lending support to the Susskind-Horowitz-Polchinski corresponde...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2024)200 |
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| _version_ | 1846158868241973248 |
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| author | Diptarka Das Santanu Mandal Anurag Sarkar |
| author_facet | Diptarka Das Santanu Mandal Anurag Sarkar |
| author_sort | Diptarka Das |
| collection | DOAJ |
| description | Abstract We compute tree level scattering amplitudes involving more than one highly excited states and tachyons in bosonic string theory. We use these amplitudes to understand the chaotic and thermal aspects of the excited string states lending support to the Susskind-Horowitz-Polchinski correspondence principle. The unaveraged amplitudes exhibit chaos in the resonance distribution as a function of the kinematic parameters, which can be described by random matrix theory. Upon coarse-graining, these amplitudes are shown to exponentiate, and capture various thermal features, including features of a stringy version of the eigenstate thermalization hypothesis as well as notions of typicality. Further, we compute the effective string form factor corresponding to the highly excited states, and argue for the random walk behaviour of the long strings. |
| format | Article |
| id | doaj-art-41f2a01e6fb54bc0b5482e109f914dcd |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-41f2a01e6fb54bc0b5482e109f914dcd2024-11-24T12:05:49ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024814210.1007/JHEP08(2024)200Chaotic and thermal aspects in the highly excited string S-matrixDiptarka Das0Santanu Mandal1Anurag Sarkar2Department of Physics, Indian Institute of Technology — KanpurDepartment of Physics, Indian Institute of Technology — KanpurDepartment of Physics, Indian Institute of Technology — KanpurAbstract We compute tree level scattering amplitudes involving more than one highly excited states and tachyons in bosonic string theory. We use these amplitudes to understand the chaotic and thermal aspects of the excited string states lending support to the Susskind-Horowitz-Polchinski correspondence principle. The unaveraged amplitudes exhibit chaos in the resonance distribution as a function of the kinematic parameters, which can be described by random matrix theory. Upon coarse-graining, these amplitudes are shown to exponentiate, and capture various thermal features, including features of a stringy version of the eigenstate thermalization hypothesis as well as notions of typicality. Further, we compute the effective string form factor corresponding to the highly excited states, and argue for the random walk behaviour of the long strings.https://doi.org/10.1007/JHEP08(2024)200Bosonic StringsScattering AmplitudesBlack Holes in String Theory |
| spellingShingle | Diptarka Das Santanu Mandal Anurag Sarkar Chaotic and thermal aspects in the highly excited string S-matrix Journal of High Energy Physics Bosonic Strings Scattering Amplitudes Black Holes in String Theory |
| title | Chaotic and thermal aspects in the highly excited string S-matrix |
| title_full | Chaotic and thermal aspects in the highly excited string S-matrix |
| title_fullStr | Chaotic and thermal aspects in the highly excited string S-matrix |
| title_full_unstemmed | Chaotic and thermal aspects in the highly excited string S-matrix |
| title_short | Chaotic and thermal aspects in the highly excited string S-matrix |
| title_sort | chaotic and thermal aspects in the highly excited string s matrix |
| topic | Bosonic Strings Scattering Amplitudes Black Holes in String Theory |
| url | https://doi.org/10.1007/JHEP08(2024)200 |
| work_keys_str_mv | AT diptarkadas chaoticandthermalaspectsinthehighlyexcitedstringsmatrix AT santanumandal chaoticandthermalaspectsinthehighlyexcitedstringsmatrix AT anuragsarkar chaoticandthermalaspectsinthehighlyexcitedstringsmatrix |