Chaos in the black hole S-matrix
High Energy Physics - Theory
2015-06-02 v2 General Relativity and Quantum Cosmology
Abstract
Recent work by Shenker, Stanford, and Kitaev has related the black hole horizon geometry to chaotic behavior. We extend this from eternal black holes to black holes that form and then evaporate. This leads to an identity for the change in the black hole S-matrix (over times shorter than the scrambling time) due an addition infalling particle, elaborating an idea of 't Hooft.
Keywords
Cite
@article{arxiv.1505.08108,
title = {Chaos in the black hole S-matrix},
author = {Joseph Polchinski},
journal= {arXiv preprint arXiv:1505.08108},
year = {2015}
}
Comments
13 pages, 2 figures. v2: correction to eq. 2.18 and added clarification (new footnote 6)