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

Department of Physics

Ben-Gurion University of the Negev

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

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	American English
Article number	6
Journal	Journal of High Energy Physics
Volume	2023
Issue number	3
DOIs	https://doi.org/10.1007/JHEP03(2023)006
State	Published - 1 Mar 2023

Keywords

AdS-CFT Correspondence
de Sitter space

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP03(2023)006

Cite this

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title = "Complex geodesics in de Sitter space",

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.",

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AU - Chapman, Shira

AU - Galante, Damián A.

AU - Harris, Eleanor

AU - Sheorey, Sameer U.

AU - Vegh, David

PY - 2023/3/1

Y1 - 2023/3/1

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

M3 - Article

SN - 1126-6708

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

All Science Journal Classification (ASJC) codes

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