A triviality result in the AdS/CFT correspondence for Euclidean quantum fields with exponential interaction

Abstract

We consider scalar quantum fields with exponential interaction on Euclidean hyperbolic space ${\mathbb{H}}^2$ in two dimensions. Using decoupling inequalities for Neumann boundary conditions on a tessellation of ${\mathbb{H}}^2$, we are able to show that the infra-red limit for the generating functional of the conformal boundary field becomes trivial.

13 pages, 1 figure

References in corpus (3)

• A comment on the dual field in the AdS-CFT correspondence
• AdS/CFT correspondence in the Euclidean context
• Quantum field theory on manifolds with a boundary