Measure for Chaotic Scattering Amplitudes

Massimo Bianchi, Maurizio Firrotta, Jacob Sonnenschein, Dorin Weissman

Research output: Contribution to journalArticlepeer-review


We propose a novel measure of chaotic scattering amplitudes. It takes the form of a log-normal distribution function for the ratios rn=δn/δn+1 of (consecutive) spacings δn between two (consecutive) peaks of the scattering amplitude. We show that the same measure applies to the quantum mechanical scattering on a leaky torus as well as to the decay of highly excited string states into two tachyons. Quite remarkably, the rn obey the same distribution that governs the nontrivial zeros of Riemann ζ function.

Original languageEnglish
Article number261601
JournalPhysical Review Letters
Issue number26
StatePublished - 23 Dec 2022


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