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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.07724 |
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Table of Contents:
- The two-point correlation function of a massive field $\langleχ(τ)χ(0)\rangle$, measured along an observer's worldline in de Sitter (dS), decays exponentially as $τ\to \infty$. Meanwhile, every dS observer is surrounded by a horizon and the holographic interpretation of the horizon entropy $S_{\rm dS}$ suggests that the correlation function should stop decaying, and start behaving erratically at late times. We find evidence for this expectation in Jackiw-Teitelboim gravity by finding a topologically nontrivial saddle, which is suppressed by $e^{-S_{\rm dS}}$, and which gives a constant contribution to $|\langle χ(τ)χ(0)\rangle|^2$. This constant might have the interpretation of the late-time average of $|\langle χ(τ)χ(0)\rangle|^2$ over all microscopic theories that have the same low-energy effective description.