A Triviality Result in the AdS/CFT Correspondence for Euclidean Quantum Fields with Exponential Interaction |
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| Authors: | Hanno Gottschalk Horst Thaler |
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| Affiliation: | 1. Fachbereich für Mathematik und Informatik, Bergische Universit?t Wuppertal, Wuppertal, Germany
2. Department of Mathematics and Informatics, University of Camerino, 62032, Camerino, Italy
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| 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. |
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