Keeping matter in the loop in dS3 quantum gravity
Abstract We propose a mechanism that couples matter fields to three-dimensional de Sitter quantum gravity. Our construction is based on the Chern-Simons formulation of three-dimensional Euclidean gravity, and it centers on a collection of Wilson loops winding around Euclidean de Sitter space. We coi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2023)120 |
| _version_ | 1827781398659858432 |
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| author | Alejandra Castro Ioana Coman Jackson R. Fliss Claire Zukowski |
| author_facet | Alejandra Castro Ioana Coman Jackson R. Fliss Claire Zukowski |
| author_sort | Alejandra Castro |
| collection | DOAJ |
| description | Abstract We propose a mechanism that couples matter fields to three-dimensional de Sitter quantum gravity. Our construction is based on the Chern-Simons formulation of three-dimensional Euclidean gravity, and it centers on a collection of Wilson loops winding around Euclidean de Sitter space. We coin this object a Wilson spool. To construct the spool, we build novel representations of 𝔰𝔲(2). To evaluate the spool, we adapt and exploit several known exact results in Chern-Simons theory. Our proposal correctly reproduces the one-loop determinant of a free massive scalar field on S 3 as G N → 0. Moreover, allowing for quantum metric fluctuations, it can be systematically evaluated to any order in perturbation theory. |
| first_indexed | 2024-03-11T15:18:13Z |
| format | Article |
| id | doaj.art-7d7a635718814dd78b6e5ce532668f4c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:18:13Z |
| publishDate | 2023-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7d7a635718814dd78b6e5ce532668f4c2023-10-29T12:06:33ZengSpringerOpenJournal of High Energy Physics1029-84792023-07-012023716110.1007/JHEP07(2023)120Keeping matter in the loop in dS3 quantum gravityAlejandra Castro0Ioana Coman1Jackson R. Fliss2Claire Zukowski3Department of Applied Mathematics and Theoretical Physics, University of CambridgeKavli Institute for the Physics and Mathematics of the Universe (WPI), University of TokyoDepartment of Applied Mathematics and Theoretical Physics, University of CambridgeDepartment of Physics and Astronomy, University of Minnesota DuluthAbstract We propose a mechanism that couples matter fields to three-dimensional de Sitter quantum gravity. Our construction is based on the Chern-Simons formulation of three-dimensional Euclidean gravity, and it centers on a collection of Wilson loops winding around Euclidean de Sitter space. We coin this object a Wilson spool. To construct the spool, we build novel representations of 𝔰𝔲(2). To evaluate the spool, we adapt and exploit several known exact results in Chern-Simons theory. Our proposal correctly reproduces the one-loop determinant of a free massive scalar field on S 3 as G N → 0. Moreover, allowing for quantum metric fluctuations, it can be systematically evaluated to any order in perturbation theory.https://doi.org/10.1007/JHEP07(2023)120Chern-Simons Theoriesde Sitter spaceWilson’t Hooft and Polyakov loops |
| spellingShingle | Alejandra Castro Ioana Coman Jackson R. Fliss Claire Zukowski Keeping matter in the loop in dS3 quantum gravity Journal of High Energy Physics Chern-Simons Theories de Sitter space Wilson ’t Hooft and Polyakov loops |
| title | Keeping matter in the loop in dS3 quantum gravity |
| title_full | Keeping matter in the loop in dS3 quantum gravity |
| title_fullStr | Keeping matter in the loop in dS3 quantum gravity |
| title_full_unstemmed | Keeping matter in the loop in dS3 quantum gravity |
| title_short | Keeping matter in the loop in dS3 quantum gravity |
| title_sort | keeping matter in the loop in ds3 quantum gravity |
| topic | Chern-Simons Theories de Sitter space Wilson ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP07(2023)120 |
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