Speaker
Massimo Bianchi
Description
Scattering processes with highly excited string (HES) states are expected to be chaotic. We show that the spacing ratios of successive peaks in the angular dependence are distributed according to the $\beta$-ensemble of random matrix theory (RMT). For the scattering amplitude of an open bosonic HES state and three tachyons, we discuss the dependence of $\beta$ on the level and helicity of the HES state. Quite remarkably, the Gaussian Unitary Ensemble (GUE) with $\beta=2$, related to the distribution of the nontrivial zeros of Riemann $\zeta$ function, applies to wave scattering on a leaky torus. Finally we explore implications of the chaotic behaviour of HES in view of the string / black-hole correspondence.
