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.

20+13 pages, 5 figures. v2: updated refs to match published version

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• de Sitter at all loops: the story of the Schwinger model
• Complexity = Anything Can Grow Forever in de Sitter
• The Cosmological Switchback Effect II
• When gravitational decoupling and quantum gravity (re)unite
• Deriving the Gibbons-Maldacena-Nunez no-go theorem from the Raychaudhuri equation
• Quasinormal Modes and the Switchback Effect in Schwarzschild-de Sitter
• Reconstructing inflationary potential from NANOGrav 15-year Data: A robust study using Non-Bunch Davies initial condition