A Mellin space approach to cosmological correlators
Abstract We propose a Mellin space approach to the evaluation of late-time momentum-space correlation functions of quantum fields in (d + 1)-dimensional de Sitter space. The Mellin-Barnes representation makes manifest the analytic structure of late-time correlators and, more generally, provides a co...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2020)090 |
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| author | Charlotte Sleight |
| author_facet | Charlotte Sleight |
| author_sort | Charlotte Sleight |
| collection | DOAJ |
| description | Abstract We propose a Mellin space approach to the evaluation of late-time momentum-space correlation functions of quantum fields in (d + 1)-dimensional de Sitter space. The Mellin-Barnes representation makes manifest the analytic structure of late-time correlators and, more generally, provides a convenient general d framework for the study of conformal correlators in momentum space. In this work we focus on tree-level correlation functions of general scalars as a prototype, including n-point contact diagrams and 4-point exchanges. For generic scalars, both the contact and exchange diagrams are given by (generalised) Hypergeometric functions, which reduce to existing expressions available in the literature for d = 3 and external scalars which are either simultaneously conformally coupled or massless. This approach can also be used for the perturbative bulk evaluation of momentum space boundary correlators in (d + 1)-dimensional anti-de Sitter space (Witten diagrams). |
| format | Article |
| id | doaj-art-057cd48fc81e473b90c619a52b966953 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-057cd48fc81e473b90c619a52b9669532025-01-26T12:11:01ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020115910.1007/JHEP01(2020)090A Mellin space approach to cosmological correlatorsCharlotte Sleight0School of Natural Sciences, Institute for Advanced StudyAbstract We propose a Mellin space approach to the evaluation of late-time momentum-space correlation functions of quantum fields in (d + 1)-dimensional de Sitter space. The Mellin-Barnes representation makes manifest the analytic structure of late-time correlators and, more generally, provides a convenient general d framework for the study of conformal correlators in momentum space. In this work we focus on tree-level correlation functions of general scalars as a prototype, including n-point contact diagrams and 4-point exchanges. For generic scalars, both the contact and exchange diagrams are given by (generalised) Hypergeometric functions, which reduce to existing expressions available in the literature for d = 3 and external scalars which are either simultaneously conformally coupled or massless. This approach can also be used for the perturbative bulk evaluation of momentum space boundary correlators in (d + 1)-dimensional anti-de Sitter space (Witten diagrams).https://doi.org/10.1007/JHEP01(2020)090AdS-CFT CorrespondenceConformal and W SymmetryScattering Amplitudes |
| spellingShingle | Charlotte Sleight A Mellin space approach to cosmological correlators Journal of High Energy Physics AdS-CFT Correspondence Conformal and W Symmetry Scattering Amplitudes |
| title | A Mellin space approach to cosmological correlators |
| title_full | A Mellin space approach to cosmological correlators |
| title_fullStr | A Mellin space approach to cosmological correlators |
| title_full_unstemmed | A Mellin space approach to cosmological correlators |
| title_short | A Mellin space approach to cosmological correlators |
| title_sort | mellin space approach to cosmological correlators |
| topic | AdS-CFT Correspondence Conformal and W Symmetry Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP01(2020)090 |
| work_keys_str_mv | AT charlottesleight amellinspaceapproachtocosmologicalcorrelators AT charlottesleight mellinspaceapproachtocosmologicalcorrelators |