Stringy effects in scrambling
arXiv:1412.6087
Abstract
In [1] we gave a precise holographic calculation of chaos at the scrambling time scale. We studied the influence of a small perturbation, long in the past, on a two-sided correlation function in the thermofield double state. A similar analysis applies to squared commutators and other out-of-time-order one-sided correlators [2-4]. The essential bulk physics is a high energy scattering problem near the horizon of an AdS black hole. The above papers used Einstein gravity to study this problem; in the present paper we consider stringy and Planckian corrections. Elastic stringy corrections play an important role, effectively weakening and smearing out the development of chaos. We discuss their signature in the boundary field theory, commenting on the extension to weak coupling. Inelastic effects, although important for the evolution of the state, leave a parametrically small imprint on the correlators that we study. We briefly discuss ways to diagnose these small corrections, and we propose another correlator where inelastic effects are order one.
31 pages plus appendix, 9 figures v2: typos, references, added comments, v3: references
References in corpus (7)
- Black holes as mirrors: quantum information in random subsystems
- Eikonal Approximation in AdS/CFT: Resumming the Gravitational Loop Expansion
- Locality in quantum gravity and string theory
- Gravitational effects in ultrahigh-energy string scattering
- Adjoint BFKL at finite coupling: a short-cut from the collinear limit
- The Transfer of Entanglement: The Case for Firewalls
- Comment on the paper "Random Quantum Circuits are Approximate 2-designs"