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Operator growth and black hole formation

2023/04/27 by Felix M. Haehl, Ying Zhao, Haehl, Felix M. +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Electrodynamics and Casimir Effect #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.2304.14351

Abstract

When two particles collide in an asymptotically AdS spacetime with high enough energy and small enough impact parameter, they can form a black hole. Motivated by dual quantum circuit considerations, we propose a threshold condition for black hole formation. Intuitively the condition can be understood as the onset of overlap of the butterfly cones describing the ballistic spread of the effect of the perturbations on the boundary systems. We verify the correctness of the condition in three bulk dimensions. We describe a six-point correlation function that can diagnose this condition and compute it in two-dimensional CFTs using eikonal resummation.

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