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Quantum fields in the static de Sitter universe

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arxiv 2005.13952 v2 pith:5A7YTTKF submitted 2020-05-26 hep-th gr-qc

classification hep-thgr-qc
keywords sitterstaticconstructpatchthermalexpansionsonlypropagator
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We construct explicit mode expansions of various tree-level propagators in the Rindler -- de Sitter universe, also known as the static (or compact) patch of the de Sitter spacetime. We construct in particular the Wightman functions for thermal states having a generic temperature $T$. We give a fresh simple proof that the only thermal Wightman propagator that respects the de Sitter isometry is the restriction to the Rindler -- de Sitter wedge of the propagator for the Bunch--Davies state. It is the thermal state with $T = (2 \pi)^{-1}$ in the units of de Sitter curvature. We show that propagators with $T\ne(2\pi)^{-1}$ are only time translation invariant and have extra singularities on the boundary of the static patch. We also construct the expansions for the so-called alpha-vacua in the static patch and discuss the flat limit.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Quantum Mechanics of Rare Events: From Quantum Walks to Stochastic Inflation

    hep-th 2026-08 conditional novelty 5.0 of 10

    Rare fluctuations in quantum walks are ruled by a measurement-induced relative entropy, and applying this to stochastic inflation yields a steady state that violates detailed balance.

  2. On the late time behavior of thermal two point function in curved space-time

    hep-th 2025-09 conditional novelty 5.0 of 10

    For thermal Bose fields in static de Sitter or a planar BTZ black hole, the late-time correlation decay switches from temperature-limited to quasinormal-mode-limited at a critical temperature Tc.

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