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Complex geodesics in de Sitter space

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arxiv 2212.01398 v2 pith:LTUVIPK2 submitted 2022-12-02 hep-th gr-qc

Shira Chapman , Damián A. Galante , Eleanor Harris , Sameer U. Sheorey , David Vegh This is my paper · ORCID
classification hep-thgr-qc
keywords geodesicssittercomplexfunctionpuzzlespacetwo-pointanalytically
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The two-point function of a free massive scalar field on a fixed background can be evaluated in the large mass limit by using a semiclassical geodesic approximation. In de Sitter space, however, this poses a puzzle. Certain spacelike separated points are not connected by real geodesics despite the corresponding two-point function in the Bunch-Davies state being non-vanishing. We resolve this puzzle by considering complex geodesics after analytically continuing to the sphere. We compute one-loop corrections to the correlator and discuss the implications of our results to de Sitter holography.

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  1. Quasinormal Modes and the Switchback Effect in Schwarzschild-de Sitter

    hep-th 2025-01 conditional novelty 6.0 of 10

    The paper derives eikonal quasinormal mode frequencies and shock-wave switchback delays in Schwarzschild-de Sitter for arbitrary mass, using static-sphere observers and reflecting boundary conditions.

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