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Quantum fields in the static de Sitter universe
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Quantum fields in the static de Sitter universe
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.
Forward citations
Cited by 1 Pith paper
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On the late time behavior of thermal two point function in curved space-time
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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