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Weak chaos and mixed dynamics in the string S-matrix

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arxiv 2401.02211 v2 pith:BFFMLATI submitted 2024-01-04 hep-th math-phmath.MPnlin.CD

Nikola Savić , Mihailo Čubrović This is my paper · ORCID
classification hep-thmath-phmath.MPnlin.CD
keywords scatteringchaoschaoticdynamicsexcitedhighlystringblack
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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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Cited by 3 Pith papers

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  1. From Confinement to Chaos in AdS/CFT Correspondence via Non-equilibrium Local States

    hep-th 2025-07 conditional novelty 6.0 of 10

    In holographic confining backgrounds, temporal peak statistics of boundary correlators after local quenches approach the Gaussian Symplectic Ensemble for heavy operators and, in capped BTZ, even for massless ones.

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