Abstract
The boundary correlation functions for a Quantum Field Theory (QFT) in an Anti-de Sitter (AdS) background can stay conformally covariant even if the bulk theory undergoes a renormalization group (RG) flow. Studying such correlation functions with the numerical conformal bootstrap leads to non-perturbative constraints that must hold along the entire flow. In this paper we carry out this analysis for the sine-Gordon RG flows in AdS2, which start with a free (compact) scalar in the UV and end with well-known massive integrable theories that saturate many S-matrix bootstrap bounds. We numerically analyze the correlation functions of both breathers and kinks and provide a detailed comparison with perturbation theory near the UV fixed point. Our bounds are often saturated to one or two orders in perturbation theory, as well as in the flat-space limit, but not necessarily in between.
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Antunes, A., Costa, M.S., Penedones, J. et al. Towards bootstrapping RG flows: sine-Gordon in AdS. J. High Energ. Phys. 2021, 94 (2021). https://doi.org/10.1007/JHEP12(2021)094
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DOI: https://doi.org/10.1007/JHEP12(2021)094