Towards bootstrapping RG flows: sine-Gordon in AdS

Journal of High Energy Physics

Balt C. van Rees¹  Aaditya Salgarkar²  António Antunes²  Miguel S. Costa²  João Penedones³ 

[1] CPHT, CNRS, École Polytechnique, Institut Polytechnique de Paris, Route de Saclay, 91128, Palaiseau, France;Centro de Física do Porto, Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal;Fields and Strings Laboratory, Institute of Physics, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland;

关键词: AdS-CFT Correspondence;    Boundary Quantum Field Theory;    Conformal Field Theory;    Renormalization Group;   

DOI  :  10.1007/JHEP12(2021)094

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY