Weak chaos and mixed dynamics in the string S-matrix
Abstract We investigate chaotic dynamics in tree-level S-matrices describing the scattering of tachyons, photons and gravitons on highly excited open and closed bosonic strings, motivated by the string/black hole complementarity. The eigenphase spacing distribution and other indicators of quantum ch...
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Format: | Article |
Language: | English |
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SpringerOpen
2024-03-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP03(2024)101 |
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author | Nikola Savić Mihailo Čubrović |
author_facet | Nikola Savić Mihailo Čubrović |
author_sort | Nikola Savić |
collection | DOAJ |
description | Abstract We investigate chaotic dynamics in tree-level S-matrices describing the scattering of tachyons, photons and gravitons on highly excited open and closed bosonic strings, motivated by the string/black hole complementarity. The eigenphase spacing distribution and other indicators of quantum chaotic scattering suggest that the dynamics is only weakly chaotic, consisting of both regular/Poisson and chaotic/Wigner-Dyson processes. Only for special values of momenta and (for photon scattering) scattering angles do we find strong chaos of random matrix type. These special values correspond to a crossover between two regimes of scattering, dominated by short versus long partitions of the total occupation number of the highly excited string; they also maximize the information entropy of the S-matrix. The lack of strong chaos suggests that perturbative dynamics of highly excited strings can never describe the universal properties and maximal chaos of black hole horizons. |
first_indexed | 2024-04-24T23:11:15Z |
format | Article |
id | doaj.art-2617f10715834a83bd4c46528bc42f02 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-04-24T23:11:15Z |
publishDate | 2024-03-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-2617f10715834a83bd4c46528bc42f022024-03-17T12:12:10ZengSpringerOpenJournal of High Energy Physics1029-84792024-03-012024313210.1007/JHEP03(2024)101Weak chaos and mixed dynamics in the string S-matrixNikola Savić0Mihailo Čubrović1Université Paris-Saclay, CNRS, CEA, Institut de Physique ThéoriqueInstitute of Physics Belgrade, University of BelgradeAbstract We investigate chaotic dynamics in tree-level S-matrices describing the scattering of tachyons, photons and gravitons on highly excited open and closed bosonic strings, motivated by the string/black hole complementarity. The eigenphase spacing distribution and other indicators of quantum chaotic scattering suggest that the dynamics is only weakly chaotic, consisting of both regular/Poisson and chaotic/Wigner-Dyson processes. Only for special values of momenta and (for photon scattering) scattering angles do we find strong chaos of random matrix type. These special values correspond to a crossover between two regimes of scattering, dominated by short versus long partitions of the total occupation number of the highly excited string; they also maximize the information entropy of the S-matrix. The lack of strong chaos suggests that perturbative dynamics of highly excited strings can never describe the universal properties and maximal chaos of black hole horizons.https://doi.org/10.1007/JHEP03(2024)101Bosonic StringsLong StringsBlack Holes in String TheoryRandom Systems |
spellingShingle | Nikola Savić Mihailo Čubrović Weak chaos and mixed dynamics in the string S-matrix Journal of High Energy Physics Bosonic Strings Long Strings Black Holes in String Theory Random Systems |
title | Weak chaos and mixed dynamics in the string S-matrix |
title_full | Weak chaos and mixed dynamics in the string S-matrix |
title_fullStr | Weak chaos and mixed dynamics in the string S-matrix |
title_full_unstemmed | Weak chaos and mixed dynamics in the string S-matrix |
title_short | Weak chaos and mixed dynamics in the string S-matrix |
title_sort | weak chaos and mixed dynamics in the string s matrix |
topic | Bosonic Strings Long Strings Black Holes in String Theory Random Systems |
url | https://doi.org/10.1007/JHEP03(2024)101 |
work_keys_str_mv | AT nikolasavic weakchaosandmixeddynamicsinthestringsmatrix AT mihailocubrovic weakchaosandmixeddynamicsinthestringsmatrix |