Loops in AdS: from the spectral representation to position space. Part III
Abstract We study loop amplitudes in anti de-Sitter space via the spectral representation. We consider loops of spinning fields and in particular gauge fields, and derive various identities connecting different families of loop diagrams, at different number of loops, different spins, different masse...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2024)193 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850129648155885568 |
|---|---|
| author | Dean Carmi |
| author_facet | Dean Carmi |
| author_sort | Dean Carmi |
| collection | DOAJ |
| description | Abstract We study loop amplitudes in anti de-Sitter space via the spectral representation. We consider loops of spinning fields and in particular gauge fields, and derive various identities connecting different families of loop diagrams, at different number of loops, different spins, different masses. Such identities are useful for the computation of Witten diagrams. Considering the theory of large-N f conformal scalar QED defined on AdS space, we derive an analytic expression for the exact 4-point correlation function at sub-leading order in 1 N f $$ \frac{1}{N_f} $$ . Additionally, we derive analytic expressions for bulk 2-point functions and boundary 4-point functions for various families of diagrams, which we denote as “blob diagrams”. Finally we study 4-point ladder diagrams with spinning fields, and we derive integral expressions for the spectral representation of a k-loop ladder diagram. |
| format | Article |
| id | doaj-art-968b9bffe6704d5a87780ec0c6ed2cd9 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-968b9bffe6704d5a87780ec0c6ed2cd92025-08-20T02:32:54ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024814010.1007/JHEP08(2024)193Loops in AdS: from the spectral representation to position space. Part IIIDean Carmi0Department of Mathematics and Physics University of Haifa at OranimAbstract We study loop amplitudes in anti de-Sitter space via the spectral representation. We consider loops of spinning fields and in particular gauge fields, and derive various identities connecting different families of loop diagrams, at different number of loops, different spins, different masses. Such identities are useful for the computation of Witten diagrams. Considering the theory of large-N f conformal scalar QED defined on AdS space, we derive an analytic expression for the exact 4-point correlation function at sub-leading order in 1 N f $$ \frac{1}{N_f} $$ . Additionally, we derive analytic expressions for bulk 2-point functions and boundary 4-point functions for various families of diagrams, which we denote as “blob diagrams”. Finally we study 4-point ladder diagrams with spinning fields, and we derive integral expressions for the spectral representation of a k-loop ladder diagram.https://doi.org/10.1007/JHEP08(2024)193AdS-CFT CorrespondenceScale and Conformal Symmetries |
| spellingShingle | Dean Carmi Loops in AdS: from the spectral representation to position space. Part III Journal of High Energy Physics AdS-CFT Correspondence Scale and Conformal Symmetries |
| title | Loops in AdS: from the spectral representation to position space. Part III |
| title_full | Loops in AdS: from the spectral representation to position space. Part III |
| title_fullStr | Loops in AdS: from the spectral representation to position space. Part III |
| title_full_unstemmed | Loops in AdS: from the spectral representation to position space. Part III |
| title_short | Loops in AdS: from the spectral representation to position space. Part III |
| title_sort | loops in ads from the spectral representation to position space part iii |
| topic | AdS-CFT Correspondence Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP08(2024)193 |
| work_keys_str_mv | AT deancarmi loopsinadsfromthespectralrepresentationtopositionspacepartiii |