Towards Bootstrapping RG flows: Sine-Gordon in AdS
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 AdS, 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.
Cite
@article{arxiv.2109.13261,
title = {Towards Bootstrapping RG flows: Sine-Gordon in AdS},
author = {António Antunes and Miguel S. Costa and João Penedones and Aaditya Salgarkar and Balt C. van Rees},
journal= {arXiv preprint arXiv:2109.13261},
year = {2022}
}
Comments
62 pages, 22 figures, 1 menhir