Renormalization group flows in AdS and the bootstrap program
High Energy Physics - Theory
2024-07-31 v2
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.
Cite
@article{arxiv.2305.11209,
title = {Renormalization group flows in AdS and the bootstrap program},
author = {Marco Meineri and Joao Penedones and Taro Spirig},
journal= {arXiv preprint arXiv:2305.11209},
year = {2024}
}
Comments
43+27 pages, 10 figures, a few typos removed, a couple of references added, matches published version