From bulk loops to boundary large-N expansion
Abstract We study the analytic structure of loop Witten diagrams in Euclidean AdS represented by their conformal partial wave expansions. We show that, as in flat space, amplitude’s singularities are associated with non-trivial cuts of the diagram and factorize into products of the coefficient funct...
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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)154 |
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| _version_ | 1823863639808933888 |
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| author | Dmitry Ponomarev |
| author_facet | Dmitry Ponomarev |
| author_sort | Dmitry Ponomarev |
| collection | DOAJ |
| description | Abstract We study the analytic structure of loop Witten diagrams in Euclidean AdS represented by their conformal partial wave expansions. We show that, as in flat space, amplitude’s singularities are associated with non-trivial cuts of the diagram and factorize into products of the coefficient functions for the subdiagrams resulting from these cuts. We consider an example of a one-loop four-point diagram in detail and then briefly discuss how the procedure can be extended to more general diagrams. Finally, we show that this analysis reproduces simple relations that follow from the large-N considerations on the boundary. |
| format | Article |
| id | doaj-art-d8a68f58aa4542ccb2a74ad7a0bfe57e |
| 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-d8a68f58aa4542ccb2a74ad7a0bfe57e2025-02-09T12:06:10ZengSpringerOpenJournal of High Energy Physics1029-84792020-01-012020113410.1007/JHEP01(2020)154From bulk loops to boundary large-N expansionDmitry Ponomarev0Texas A&M UniversityAbstract We study the analytic structure of loop Witten diagrams in Euclidean AdS represented by their conformal partial wave expansions. We show that, as in flat space, amplitude’s singularities are associated with non-trivial cuts of the diagram and factorize into products of the coefficient functions for the subdiagrams resulting from these cuts. We consider an example of a one-loop four-point diagram in detail and then briefly discuss how the procedure can be extended to more general diagrams. Finally, we show that this analysis reproduces simple relations that follow from the large-N considerations on the boundary.https://doi.org/10.1007/JHEP01(2020)154AdS-CFT CorrespondenceConformal Field Theory |
| spellingShingle | Dmitry Ponomarev From bulk loops to boundary large-N expansion Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory |
| title | From bulk loops to boundary large-N expansion |
| title_full | From bulk loops to boundary large-N expansion |
| title_fullStr | From bulk loops to boundary large-N expansion |
| title_full_unstemmed | From bulk loops to boundary large-N expansion |
| title_short | From bulk loops to boundary large-N expansion |
| title_sort | from bulk loops to boundary large n expansion |
| topic | AdS-CFT Correspondence Conformal Field Theory |
| url | https://doi.org/10.1007/JHEP01(2020)154 |
| work_keys_str_mv | AT dmitryponomarev frombulkloopstoboundarylargenexpansion |