Towards bootstrapping RG flows: sine-Gordon in AdS

• Type: Article in International Scientific Journal
• Date: 2021

Authors

Antunes, A (Author) Other; Costa, MS (Author) FCUP; Penedones, J (Author) Other; Salgarkar, A (Author) Other; van Rees, BC (Author) Other

Journal

Title: Journal of High Energy Physics

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 9 Citations

Other information

Authenticus ID: P-00V-W43

DOI: 10.1007/jhep12(2021)094

Abstract (EN): 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(2), 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 64