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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

Weak chaos and mixed dynamics in the string S-matrix

Nikola Savi\'c , Mihailo \v{C}ubrovi\'c This is my paper
classification hep-th math-phmath.MPnlin.CD
keywords scatteringchaoschaoticdynamicsexcitedhighlystringblack
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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