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

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 functi...

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Bibliographic Details
Published in:arXiv.org 2013-08
Main Authors: Gottschalk, Hanno, Thaler, Horst
Format: Article
Language:English
Subjects:
Boundary conditions
Decoupling
Euclidean geometry
Tessellation
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1210.0215