A scattering amplitude for massive particles in AdS
Abstract In this paper, we propose a conformally covariant momentum space representation of CFT correlation functions. We call it the AdS S-matrix. This representation has the property that it reduces to the S-matrix in the flat space limit. The flat space limit in question is taken by keeping all t...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)157 |
| _version_ | 1798001654863233024 |
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| author | Abhijit Gadde Trakshu Sharma |
| author_facet | Abhijit Gadde Trakshu Sharma |
| author_sort | Abhijit Gadde |
| collection | DOAJ |
| description | Abstract In this paper, we propose a conformally covariant momentum space representation of CFT correlation functions. We call it the AdS S-matrix. This representation has the property that it reduces to the S-matrix in the flat space limit. The flat space limit in question is taken by keeping all the particle masses fixed as the operator conformal dimensions go to infinity along with the AdS radius R. We give Feynman-like rules to compute the AdS S-matrix in 1/R perturbation theory. Moreover, we relate it to the Mellin space representation of the conformal correlators in 1/R perturbation theory. |
| first_indexed | 2024-04-11T11:39:44Z |
| format | Article |
| id | doaj.art-18e8ed5b3611460a814df234378e5ad5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T11:39:44Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-18e8ed5b3611460a814df234378e5ad52022-12-22T04:25:52ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022914210.1007/JHEP09(2022)157A scattering amplitude for massive particles in AdSAbhijit Gadde0Trakshu Sharma1Department of Theoretical Physics, Tata Institute of Fundamental ResearchDepartment of Theoretical Physics, Tata Institute of Fundamental ResearchAbstract In this paper, we propose a conformally covariant momentum space representation of CFT correlation functions. We call it the AdS S-matrix. This representation has the property that it reduces to the S-matrix in the flat space limit. The flat space limit in question is taken by keeping all the particle masses fixed as the operator conformal dimensions go to infinity along with the AdS radius R. We give Feynman-like rules to compute the AdS S-matrix in 1/R perturbation theory. Moreover, we relate it to the Mellin space representation of the conformal correlators in 1/R perturbation theory.https://doi.org/10.1007/JHEP09(2022)157AdS-CFT CorrespondenceScattering Amplitudes |
| spellingShingle | Abhijit Gadde Trakshu Sharma A scattering amplitude for massive particles in AdS Journal of High Energy Physics AdS-CFT Correspondence Scattering Amplitudes |
| title | A scattering amplitude for massive particles in AdS |
| title_full | A scattering amplitude for massive particles in AdS |
| title_fullStr | A scattering amplitude for massive particles in AdS |
| title_full_unstemmed | A scattering amplitude for massive particles in AdS |
| title_short | A scattering amplitude for massive particles in AdS |
| title_sort | scattering amplitude for massive particles in ads |
| topic | AdS-CFT Correspondence Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP09(2022)157 |
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