Towards bootstrapping RG flows: sine-Gordon in AdS

• Tipo: Artigo em Revista Científica Internacional
• Data: 2021

Autores

Antunes, A (Autor) Outra; Costa, MS (Autor) FCUP; Penedones, J (Autor) Outra; Salgarkar, A (Autor) Outra; van Rees, BC (Autor) Outra

Revista

Título: Journal of High Energy Physics

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 9 Citações

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 64