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 desp...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2023)006 |
| _version_ | 1797795950322778112 |
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| author | Shira Chapman Damián A. Galante Eleanor Harris Sameer U. Sheorey David Vegh |
| author_facet | Shira Chapman Damián A. Galante Eleanor Harris Sameer U. Sheorey David Vegh |
| author_sort | Shira Chapman |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-13T03:25:46Z |
| format | Article |
| id | doaj.art-f04b14bbc31945d5983bf909c22a73b2 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-13T03:25:46Z |
| publishDate | 2023-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f04b14bbc31945d5983bf909c22a73b22023-06-25T11:05:35ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023312910.1007/JHEP03(2023)006Complex geodesics in de Sitter spaceShira Chapman0Damián A. Galante1Eleanor Harris2Sameer U. Sheorey3David Vegh4Department of Physics, Ben-Gurion University of the NegevDepartment of Mathematics, King‘s College LondonDepartment of Mathematics, King‘s College LondonDepartment of Mathematics, King‘s College LondonCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonAbstract 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.https://doi.org/10.1007/JHEP03(2023)006AdS-CFT Correspondencede Sitter space |
| spellingShingle | Shira Chapman Damián A. Galante Eleanor Harris Sameer U. Sheorey David Vegh Complex geodesics in de Sitter space Journal of High Energy Physics AdS-CFT Correspondence de Sitter space |
| title | Complex geodesics in de Sitter space |
| title_full | Complex geodesics in de Sitter space |
| title_fullStr | Complex geodesics in de Sitter space |
| title_full_unstemmed | Complex geodesics in de Sitter space |
| title_short | Complex geodesics in de Sitter space |
| title_sort | complex geodesics in de sitter space |
| topic | AdS-CFT Correspondence de Sitter space |
| url | https://doi.org/10.1007/JHEP03(2023)006 |
| work_keys_str_mv | AT shirachapman complexgeodesicsindesitterspace AT damianagalante complexgeodesicsindesitterspace AT eleanorharris complexgeodesicsindesitterspace AT sameerusheorey complexgeodesicsindesitterspace AT davidvegh complexgeodesicsindesitterspace |