One-loop gluon amplitudes in AdS
We initiate the study of one-loop gluon amplitudes in AdS space. These amplitudes were recently computed at tree level for a variety of backgrounds of the form AdSd+1 × S3. For concreteness, we compute the one-loop correction to the massless gluon amplitude on AdS5×S3, which corresponds to the four-...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Springer
2022
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| _version_ | 1826307840608829440 |
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| author | Alday, LF Bissi, A Zhou, X |
| author_facet | Alday, LF Bissi, A Zhou, X |
| author_sort | Alday, LF |
| collection | OXFORD |
| description | We initiate the study of one-loop gluon amplitudes in AdS space. These amplitudes were recently computed at tree level for a variety of backgrounds of the form AdSd+1 × S3. For concreteness, we compute the one-loop correction to the massless gluon amplitude on AdS5×S3, which corresponds to the four-point correlator of the flavor current multiplet in the dual 4d N = 2 SCFT. This requires solving a mixing problem that involves tree-level amplitudes of arbitrarily massive Kaluza-Klein modes. The final answer has the same color structure as in flat space but the dependence on Mandelstam variables is more complicated, with logarithms replaced by polygamma functions. |
| first_indexed | 2024-03-07T07:09:04Z |
| format | Journal article |
| id | oxford-uuid:5459f121-1767-4b4f-83a0-cd4aa2b09082 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:09:04Z |
| publishDate | 2022 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:5459f121-1767-4b4f-83a0-cd4aa2b090822022-06-10T15:01:48ZOne-loop gluon amplitudes in AdSJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5459f121-1767-4b4f-83a0-cd4aa2b09082EnglishSymplectic ElementsSpringer2022Alday, LFBissi, AZhou, XWe initiate the study of one-loop gluon amplitudes in AdS space. These amplitudes were recently computed at tree level for a variety of backgrounds of the form AdSd+1 × S3. For concreteness, we compute the one-loop correction to the massless gluon amplitude on AdS5×S3, which corresponds to the four-point correlator of the flavor current multiplet in the dual 4d N = 2 SCFT. This requires solving a mixing problem that involves tree-level amplitudes of arbitrarily massive Kaluza-Klein modes. The final answer has the same color structure as in flat space but the dependence on Mandelstam variables is more complicated, with logarithms replaced by polygamma functions. |
| spellingShingle | Alday, LF Bissi, A Zhou, X One-loop gluon amplitudes in AdS |
| title | One-loop gluon amplitudes in AdS |
| title_full | One-loop gluon amplitudes in AdS |
| title_fullStr | One-loop gluon amplitudes in AdS |
| title_full_unstemmed | One-loop gluon amplitudes in AdS |
| title_short | One-loop gluon amplitudes in AdS |
| title_sort | one loop gluon amplitudes in ads |
| work_keys_str_mv | AT aldaylf oneloopgluonamplitudesinads AT bissia oneloopgluonamplitudesinads AT zhoux oneloopgluonamplitudesinads |