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Complex geodesics in de Sitter space
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DOI：10.1007/JHEP03(2023)006.png)
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Abstract
En 中文
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
Journal
IF:
5.5
Papers:
3.9W
Citations:
13.7W