Renormalization group flows in AdS and the bootstrap program
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866907998835703808 |
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| author | Meineri, Marco Penedones, Joao Spirig, Taro |
| author_facet | Meineri, Marco Penedones, Joao Spirig, Taro |
| contents | We study correlation functions of the bulk stress tensor and boundary operators in Quantum Field Theories (QFT) in Anti-de Sitter (AdS) space. In particular, we derive new sum rules from the two-point function of the stress tensor and its three-point function with two boundary operators. In AdS2, this leads to a bootstrap setup that involves the central charge of the UV limit of the bulk QFT and may allow us to follow a Renormalization Group (RG) flow non-perturbatively by continuously varying the AdS radius. Along the way, we establish the convergence properties of the newly discovered local block decomposition of the three-point function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_11209 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Renormalization group flows in AdS and the bootstrap program Meineri, Marco Penedones, Joao Spirig, Taro High Energy Physics - Theory We study correlation functions of the bulk stress tensor and boundary operators in Quantum Field Theories (QFT) in Anti-de Sitter (AdS) space. In particular, we derive new sum rules from the two-point function of the stress tensor and its three-point function with two boundary operators. In AdS2, this leads to a bootstrap setup that involves the central charge of the UV limit of the bulk QFT and may allow us to follow a Renormalization Group (RG) flow non-perturbatively by continuously varying the AdS radius. Along the way, we establish the convergence properties of the newly discovered local block decomposition of the three-point function. |
| title | Renormalization group flows in AdS and the bootstrap program |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2305.11209 |