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Chaos and complementarity in de Sitter space

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2]
  1. Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics; OSTI
  2. Univ. of Wisconsin, Madison, WI (United States). Dept. of Physics
+ Show Author Affiliations
We consider small perturbations to a static three-dimensional de Sitter geometry. For early enough perturbations that satisfy the null energy condition, the result is a shockwave geometry that leads to a time advance in the trajectory of geodesics crossing it. This brings the opposite poles of de Sitter space into causal contact with each other, much like a traversable wormhole in Anti-de Sitter space. In this background, we compute out-of-time-order correlators (OTOCs) to asses the chaotic nature of the de Sitter horizon and find that it is maximally chaotic: one of the OTOCs we study decays exponentially with a Lyapunov exponent that saturates the chaos bound. We discuss the consequences of our results for de Sitter complementarity and inflation.
Research Organization:
Univ. of Wisconsin, Madison, WI (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0017647
OSTI ID:
1803126
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 5 Vol. 2020; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

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Cited By (2)

Runaway potentials in warm inflation satisfying the swampland conjectures journal November 2020
de Sitter Complementarity, TCC, and the Swampland preprint January 2020

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71 CLASSICAL AND QUANTUM MECHANICS
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Physics