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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Main Authors: Nikola Savić, Mihailo Čubrović
Format: Article
Language:English
Published: SpringerOpen 2024-03-01
Series:Journal of High Energy Physics
Subjects:
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.
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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