A triviality result in the AdS/CFT correspondence for Euclidean quantum fields with exponential interaction
Hanno Gottschalk, Horst Thaler
September 30, 2012
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.
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