Spinors in (Anti-)de Sitter Space
Abstract We explore analytical aspects of correlators involving Dirac spinors in d + 1-dimensional de Sitter space. Adapting the formalism of Sleight and Taronna, we show how to relate processes involving fermions in the in-in formalism to equivalent Witten diagrams in (complexified) Euclidean anti-...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2023)142 |
| _version_ | 1827394639181643776 |
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| author | Vladimir Schaub |
| author_facet | Vladimir Schaub |
| author_sort | Vladimir Schaub |
| collection | DOAJ |
| description | Abstract We explore analytical aspects of correlators involving Dirac spinors in d + 1-dimensional de Sitter space. Adapting the formalism of Sleight and Taronna, we show how to relate processes involving fermions in the in-in formalism to equivalent Witten diagrams in (complexified) Euclidean anti-de Sitter space. We exemplify the method for a fermion-exchange diagram. We establish a positive spectral decomposition over the principal series of the Wightman function of two spinors, showing the consequences of unitarity. |
| first_indexed | 2024-03-08T18:15:50Z |
| format | Article |
| id | doaj.art-a98831308da64b05bba6383bf87759d0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T18:15:50Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a98831308da64b05bba6383bf87759d02023-12-31T12:09:08ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023914110.1007/JHEP09(2023)142Spinors in (Anti-)de Sitter SpaceVladimir Schaub0Mathematics Department, King’s College LondonAbstract We explore analytical aspects of correlators involving Dirac spinors in d + 1-dimensional de Sitter space. Adapting the formalism of Sleight and Taronna, we show how to relate processes involving fermions in the in-in formalism to equivalent Witten diagrams in (complexified) Euclidean anti-de Sitter space. We exemplify the method for a fermion-exchange diagram. We establish a positive spectral decomposition over the principal series of the Wightman function of two spinors, showing the consequences of unitarity.https://doi.org/10.1007/JHEP09(2023)142de Sitter spaceScale and Conformal SymmetriesSpace-Time SymmetriesField Theories in Higher Dimensions |
| spellingShingle | Vladimir Schaub Spinors in (Anti-)de Sitter Space Journal of High Energy Physics de Sitter space Scale and Conformal Symmetries Space-Time Symmetries Field Theories in Higher Dimensions |
| title | Spinors in (Anti-)de Sitter Space |
| title_full | Spinors in (Anti-)de Sitter Space |
| title_fullStr | Spinors in (Anti-)de Sitter Space |
| title_full_unstemmed | Spinors in (Anti-)de Sitter Space |
| title_short | Spinors in (Anti-)de Sitter Space |
| title_sort | spinors in anti de sitter space |
| topic | de Sitter space Scale and Conformal Symmetries Space-Time Symmetries Field Theories in Higher Dimensions |
| url | https://doi.org/10.1007/JHEP09(2023)142 |
| work_keys_str_mv | AT vladimirschaub spinorsinantidesitterspace |