AdS S-matrix for massive vector fields
Abstract We generalize a recent “AdS S-matrix” formulation for interacting massive scalars on AdS spacetimes to the case of massive vector fields. This method relies on taking the infinite radius limit for scattering processes perturbatively, which is analyzed using Witten diagrams in the momentum s...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2025)094 |
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| _version_ | 1849725486081507328 |
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| author | Nabamita Banerjee Amogh Neelkanth Desai Karan Fernandes Arpita Mitra Tabasum Rahnuma |
| author_facet | Nabamita Banerjee Amogh Neelkanth Desai Karan Fernandes Arpita Mitra Tabasum Rahnuma |
| author_sort | Nabamita Banerjee |
| collection | DOAJ |
| description | Abstract We generalize a recent “AdS S-matrix” formulation for interacting massive scalars on AdS spacetimes to the case of massive vector fields. This method relies on taking the infinite radius limit for scattering processes perturbatively, which is analyzed using Witten diagrams in the momentum space formulation of global AdS with embedding space coordinates. It recovers the S-matrix with subleading corrections in powers of the inverse AdS radius about a flat spacetime region within the bulk. We first derive the massive vector bulk-to-boundary and bulk-to-bulk propagators within this perturbation theory. As an example, we consider the Abelian Higgs Model in a certain regime of the coupling parameter space to model an interacting Proca theory on AdS spacetimes. We specifically compute the AdS S-matrix for a process involving massive external vector fields mediated by a massive scalar. We lastly discuss possible massless limit of propagators within this perturbative framework. |
| format | Article |
| id | doaj-art-a24e7a89b5914c8a84bcedf2c5cdb053 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a24e7a89b5914c8a84bcedf2c5cdb0532025-08-20T03:10:27ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025513010.1007/JHEP05(2025)094AdS S-matrix for massive vector fieldsNabamita Banerjee0Amogh Neelkanth Desai1Karan Fernandes2Arpita Mitra3Tabasum Rahnuma4Indian Institute of Science Education and Research BhopalDepartment of Physics, The University of Texas at DallasDepartment of Physics, National Taiwan Normal UniversityDepartment of Physics, Pohang University of Science and TechnologyAsia Pacific Center for Theoretical Physics (APCTP)Abstract We generalize a recent “AdS S-matrix” formulation for interacting massive scalars on AdS spacetimes to the case of massive vector fields. This method relies on taking the infinite radius limit for scattering processes perturbatively, which is analyzed using Witten diagrams in the momentum space formulation of global AdS with embedding space coordinates. It recovers the S-matrix with subleading corrections in powers of the inverse AdS radius about a flat spacetime region within the bulk. We first derive the massive vector bulk-to-boundary and bulk-to-bulk propagators within this perturbation theory. As an example, we consider the Abelian Higgs Model in a certain regime of the coupling parameter space to model an interacting Proca theory on AdS spacetimes. We specifically compute the AdS S-matrix for a process involving massive external vector fields mediated by a massive scalar. We lastly discuss possible massless limit of propagators within this perturbative framework.https://doi.org/10.1007/JHEP05(2025)094AdS-CFT CorrespondenceScattering Amplitudes |
| spellingShingle | Nabamita Banerjee Amogh Neelkanth Desai Karan Fernandes Arpita Mitra Tabasum Rahnuma AdS S-matrix for massive vector fields Journal of High Energy Physics AdS-CFT Correspondence Scattering Amplitudes |
| title | AdS S-matrix for massive vector fields |
| title_full | AdS S-matrix for massive vector fields |
| title_fullStr | AdS S-matrix for massive vector fields |
| title_full_unstemmed | AdS S-matrix for massive vector fields |
| title_short | AdS S-matrix for massive vector fields |
| title_sort | ads s matrix for massive vector fields |
| topic | AdS-CFT Correspondence Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP05(2025)094 |
| work_keys_str_mv | AT nabamitabanerjee adssmatrixformassivevectorfields AT amoghneelkanthdesai adssmatrixformassivevectorfields AT karanfernandes adssmatrixformassivevectorfields AT arpitamitra adssmatrixformassivevectorfields AT tabasumrahnuma adssmatrixformassivevectorfields |