Anti-de Sitter, plane waves and quantum field theory
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912582127845376 |
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| author | Moschella, Ugo |
| author_facet | Moschella, Ugo |
| contents | We present a new plane-wave expansion of the Wightman functions of anti de Sitter scalar fields and showcase its conceptual and technical importance in AdS quantum field theory. We deduce from it a new integral representation of the Feynman propagator which helps in clarifying the relation between AdS Euclidean and Lorentzian Feynman diagrams in concrete examples. The plane-wave expansion makes it possible also to demonstrate numerous new nontrivial formulas for Bessel and Legendre functions, and we provide two examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_09257 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Anti-de Sitter, plane waves and quantum field theory Moschella, Ugo High Energy Physics - Theory We present a new plane-wave expansion of the Wightman functions of anti de Sitter scalar fields and showcase its conceptual and technical importance in AdS quantum field theory. We deduce from it a new integral representation of the Feynman propagator which helps in clarifying the relation between AdS Euclidean and Lorentzian Feynman diagrams in concrete examples. The plane-wave expansion makes it possible also to demonstrate numerous new nontrivial formulas for Bessel and Legendre functions, and we provide two examples. |
| title | Anti-de Sitter, plane waves and quantum field theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.09257 |