An Observer's Measure of De Sitter Entropy

2023/11/13 by Mirbabayi, Mehrdad · 2 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2311.07724

Abstract

The two-point correlation function of a massive field ⟨χ(τ)χ(0)⟩, measured along an observer's worldline in de Sitter (dS), decays exponentially as τ→ ∞. 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 |⟨ χ(τ)χ(0)⟩|². This constant might have the interpretation of the late-time average of |⟨ χ(τ)χ(0)⟩|² over all microscopic theories that have the same low-energy effective description.

Cited by

• Two-point correlators in de Sitter-prepared states with bra-ket wormholes
• On the phase of the de Sitter density of states

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