Amplitude Bootstrap in (Anti) de Sitter Space And The Four-Point Graviton from Double Copy
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866929314047459328 |
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| author | Mei, Jiajie |
| author_facet | Mei, Jiajie |
| contents | We propose studying a new representation of on-shell Anti de Sitter (AdS) amplitude in Mellin Momentum space, where it encodes all the dynamical information in Cosmological Correlators. At tree level, we demonstrate that this amplitude has a similar analytic structure as the S-matrix, with residues of poles made up of on-shell lower-point amplitudes. We use this structure to bootstrap 4-point scalar amplitudes with spin-1 and spin-2 exchange. In the second part of the paper, we use double copy to construct the 4-point graviton amplitude in general dimension. This leads us to a novel, concise formula that exhibits the flat space structure. We also verified this formula for the case when d=3 with literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_13894 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Amplitude Bootstrap in (Anti) de Sitter Space And The Four-Point Graviton from Double Copy Mei, Jiajie High Energy Physics - Theory General Relativity and Quantum Cosmology We propose studying a new representation of on-shell Anti de Sitter (AdS) amplitude in Mellin Momentum space, where it encodes all the dynamical information in Cosmological Correlators. At tree level, we demonstrate that this amplitude has a similar analytic structure as the S-matrix, with residues of poles made up of on-shell lower-point amplitudes. We use this structure to bootstrap 4-point scalar amplitudes with spin-1 and spin-2 exchange. In the second part of the paper, we use double copy to construct the 4-point graviton amplitude in general dimension. This leads us to a novel, concise formula that exhibits the flat space structure. We also verified this formula for the case when d=3 with literature. |
| title | Amplitude Bootstrap in (Anti) de Sitter Space And The Four-Point Graviton from Double Copy |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2305.13894 |