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arXiv · 2305.11209

Renormalization group flows in AdS and the bootstrap program

Marco Meineri·Joao Penedones·Taro Spirig
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Abstract

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.

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Marco Meineri, Joao Penedones, Taro Spirig. 2023-05-18. Renormalization group flows in AdS and the bootstrap program. https://doi.org/10.1007/jhep07(2024)229

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