An Inelastic Bound on Chaos

Abstract

We study a generalization of the chaos bound that applies to out-of-time-ordered correlators between four different operators. We prove this bound under the same assumptions that apply for the usual chaos bound and extend it to non-hermitian operators. In a holographic theory, these correlators are controlled by inelastic scattering in the bulk and we comment on implications. In particular, for holographic theories the bound together with the equivalence principle suggests that gravity is the highest spin force, and the strongest one with that spin.

18 pp 1 fig; v2 ref added

References in corpus (4)

• The Pomeron and Gauge/String Duality
• More on Supersymmetric and 2d Analogs of the SYK Model
• On the relation between the magnitude and exponent of OTOCs
• Bounds on OPE Coefficients from Interference Effects in the Conformal Collider

Cited by in corpus (7)

• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• A universal Schwarzian sector in two-dimensional conformal field theories
• Defects in Jackiw-Teitelboim Quantum Gravity
• Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block
• The Generalized OTOC from Supersymmetric Quantum Mechanics: Study of Random Fluctuations from Eigenstate Representation of Correlation Functions
• Angular momentum and chaos bound of charged particles around Einstein-Euler-Heisenberg AdS black holes
• Analyticity constraints bound the decay of the spectral form factor