Complex geodesics in de Sitter space

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

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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 languageEnglish
Article number6
JournalJournal of High Energy Physics
Volume2023
Issue number3
DOIs
StatePublished - 1 Mar 2023

Keywords

  • AdS-CFT Correspondence
  • de Sitter space

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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