A Comment on the Infra-Red Problem in the AdS/CFT Correspondence
| dc.creator | Gottschalk, Hanno | |
| dc.creator | Thaler, Horst | |
| dc.date | 2007-09-27 | |
| dc.date.accessioned | 2026-07-07T08:32:49Z | |
| dc.date.available | 2026-07-07T08:32:49Z | |
| dc.description | 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 $:ϕ^4:$. We also give a brief discussion on possible renormalization strategies and the specific problems that arise in this context. | |
| dc.identifier | https://arxiv.org/abs/0709.4486 | |
| dc.identifier | http://arxiv.org/abs/0709.4486 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138916 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81T08; 81T30 | |
| dc.title | A Comment on the Infra-Red Problem in the AdS/CFT Correspondence | |
| dc.type | text |