Operator growth and black hole formation
- URL: http://arxiv.org/abs/2304.14351v2
- Date: Wed, 5 Jul 2023 21:24:21 GMT
- Title: Operator growth and black hole formation
- Authors: Felix M. Haehl and Ying Zhao
- Abstract summary: When two particles collide in anally 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.
- Score: 3.793716747008753
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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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