Lecture Notes on Holographic Renormalization
| dc.creator | Skenderis, Kostas | |
| dc.date | 2002-09-09 | |
| dc.date | 2002-10-11 | |
| dc.date.accessioned | 2026-07-07T10:49:27Z | |
| dc.date.available | 2026-07-07T10:49:27Z | |
| dc.description | We review the formalism of holographic renormalization. We start by discussing mathematical results on asymptotically anti-de Sitter spacetimes. We then outline the general method of holographic renormalization. The method is illustrated by working all details in a simple example: a massive scalar field on anti-de Sitter spacetime. The discussion includes the derivation of the on-shell renormalized action, of holographic Ward identities, anomalies and RG equations, and the computation of renormalized one-, two- and four-point functions. We then discuss the application of the method to holographic RG flows. We also show that the results of the near-boundary analysis of asymptotically AdS spacetimes can be analytically continued to apply to asymptotically de Sitter spacetimes. In particular, it is shown that the Brown-York stress energy tensor of de Sitter spacetime is equal, up to a dimension dependent sign, to the Brown-York stress energy tensor of an associated AdS spacetime. | |
| dc.description | 43 pages; typos corrected, references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0209067 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0209067 | |
| dc.identifier | Class.Quant.Grav.19:5849-5876,2002 | |
| dc.identifier | doi:10.1088/0264-9381/19/22/306 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184223 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Lecture Notes on Holographic Renormalization | |
| dc.type | text |