Stringy effects in scrambling
By S. Shenker, D. Stanford. 2014
612 citations recorded by the source corpus.
A bstractIn [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 [2-6]. 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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/6c4fe644130a6fe694776e69c8ab43ee2f87936e
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Citations in the corpus
- Diving into traversable wormholes (2017, background): “Here we assume that a is a constant, which is a good model for scattering on a general black hole background [22].”
- Bounding the space of holographic CFTs with chaos (2016, methodology): “On the right, the canonical [9] diagram of the out-of-time-order arrangement of operators along the Euclidean time circle.”
- On entanglement spreading in chaotic systems (2016, background): “This did not happen at the order in α′ studied in [38], but it may happen at the next order.”
- Many-body chaos at weak coupling (2015, methodology): “ballistic behavior in the growth of operators discussed in [5, 7].”
- Onset of many-body chaos in the $O(N)$ model (2017, background): “In holographic and related studies [61,62], there is an additional polelike singularity in χk which, when closer to the real-axis, determines the spatial decay.”
- Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models (2016, background): “9) were also identified in the analysis of stringy corrections to the holographic computation of F (x, t) in [46].”
- A bound on chaos (2015, methodology): “The strength of this scattering becomes of order one when GNs ∼ 1 in AdS units.”
- Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves (2016, result): “This conclusion of the constant velocity of the quantum butterfly propagation agrees with the result obtained in holographical theory of black holes [6, 22, 23].”
- Localized shocks (2014, background): “Stringy effects are considered in [38].”
- Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models (2018, background): “In holographic calculations [133,143,144] and in calculations involving a chain of coupled disordered SYK islands [56], the exponential growth in time is accompanied by a spatial structure of the form Cðt; rÞ ∼ eλLðt−jrj=vBÞ, leading to a ballistic growth of chaos, where vB is known as the “butterfl”
- The Schwarzian theory — origins (2018, methodology): “For the Schwarzian theory, we find the precise semi-classical (large C) shockwave expressions of [14, 23] starting from the exact OTO correlators in [74].”
- Chaos, complexity, and random matrices (2017, background): “In strongly coupled systems with local Hamiltonians, correlation functions behave rather differently depending on the time ordering of operators, as long as the time gaps involved are small or comparable to the scrambling time [4, 5, 9, 33].”
- Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator (2016, background): “Later it is also found that the quantum correction from the string theory always makes the Lyapunov exponent smaller [5].”
- The factorization problem in Jackiw-Teitelboim gravity (2018, background): “In particular the strong redshift effects near black hole horizons make physics from the point of view of the outside observer unusually sensitive to gravitational effects there [10–14].”