An Observer's Measure of De Sitter Entropy
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866929727770460160 |
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| author | Mirbabayi, Mehrdad |
| author_facet | Mirbabayi, Mehrdad |
| 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2311_07724 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An Observer's Measure of De Sitter Entropy Mirbabayi, Mehrdad High Energy Physics - Theory General Relativity and Quantum Cosmology 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. |
| title | An Observer's Measure of De Sitter Entropy |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2311.07724 |