Complex geodesics in de Sitter space

Shira Chapman; Damián A. Galante; Eleanor Harris; Sameer U. Sheorey; David Vegh

doi:10.1007/JHEP03(2023)006

Complex geodesics in de Sitter space

Shira Chapman, Damián A. Galante^*, Eleanor Harris, Sameer U. Sheorey, David Vegh

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

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.

Original language	English
Article number	6
Journal	Journal of High Energy Physics
Volume	2023
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2023)006
Publication status	Published - Mar 2023

Keywords

AdS-CFT Correspondence
de Sitter space

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10.1007/JHEP03(2023)006

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abstract = "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.",

keywords = "AdS-CFT Correspondence, de Sitter space",

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AU - Galante, Damián A.

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AU - Sheorey, Sameer U.

AU - Vegh, David

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N2 - 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.

AB - 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.

KW - AdS-CFT Correspondence

KW - de Sitter space

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U2 - 10.1007/JHEP03(2023)006

DO - 10.1007/JHEP03(2023)006

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VL - 2023

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 3

M1 - 6

ER -

Complex geodesics in de Sitter space

Abstract

Keywords

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