Weak chaos and mixed dynamics in the string S-matrix
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| Format: | Preprint |
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2024
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| _version_ | 1866917642229514240 |
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| author | Savić, Nikola Čubrović, Mihailo |
| author_facet | Savić, Nikola Čubrović, Mihailo |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_02211 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak chaos and mixed dynamics in the string S-matrix Savić, Nikola Čubrović, Mihailo High Energy Physics - Theory Mathematical Physics Chaotic Dynamics 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. |
| title | Weak chaos and mixed dynamics in the string S-matrix |
| topic | High Energy Physics - Theory Mathematical Physics Chaotic Dynamics |
| url | https://arxiv.org/abs/2401.02211 |