A Comment on the Infra-Red Problem in the AdS/CFT Correspondence
Mathematical Physics
2007-10-01 v1 math.MP
Abstract
In this note we report on some recent progress in proving the AdS/CFT correspondence for quantum fields using rigorously defined Euclidean path integrals. We also comment on the infra-red problem in the AdS/CFT correspondence and argue that it is different from the usual IR problem in constructive quantum field theory. To illustrate this, a triviality proof based on hypercontractivity estimates is given for the case of an ultra-violet regularized potential of type . We also give a brief discussion on possible renormalization strategies and the specific problems that arise in this context.
Cite
@article{arxiv.0709.4486,
title = {A Comment on the Infra-Red Problem in the AdS/CFT Correspondence},
author = {Hanno Gottschalk and Horst Thaler},
journal= {arXiv preprint arXiv:0709.4486},
year = {2007}
}