Year: 2026
Type: article
Abstract: A bstract Correlation functions of local operators in Quantum Field Theory (QFT) on hyperbolic space can be fully characterized by the set of QFT data {∆ i , C ijk , $$ {b}_j^{\hat{\mathcal{O}}} $$ b j O ̂ }. These are the scaling dimensions of boundary operators ∆ i , the boundary Operator Product Expansion (OPE) coefficients C ijk and the Boundary Operator Expansion (BOE) coefficients $$ {b}_j^{\hat{\mathcal{O}}} $$ b j O ̂ that characterize how each bulk operator $$ \hat{\mathcal{O}} $$ O ̂ can be expanded in terms of boundary operators $$ {\mathcal{O}}_j $$ O j . For simplicity, we focus on two dimensional QFTs and derive a universal set of first order Ordinary Differential Equations (ODEs) that encode the variation of the QFT data under an infinitesimal change of a bulk relevant coupling. In principle, our ODEs can be used to follow a Renormalization Group (RG) flow starting from a solvable QFT into a strongly coupled phase and to the flat space limit.
Source: Journal of High Energy Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funders: National Science Foundation, Simons Foundation, Aspen Center for Physics, National Centres of Competence in Research SwissMAP, Agence Nationale de la Recherche, Ministry of Education, Culture, Sports, Science and Technology, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
OpenAlex ID: W7169507792