Variational Methods in AdS/CFT
High Energy Physics - Theory
2009-05-16 v3
Abstract
We prove that the AdS/CFT calculation of 1-point functions can be drastically simplified by using variational arguments. We give a simple universal proof, valid for any theory that can be derived from a Lagrangian, that the large radius divergencies in 1-point functions can always be renormalized away (at least in the semiclassical approximation). The renormalized 1-point functions then follow by a simple variational problem involving only finite quantities. Several examples, a massive scalar, gravity, and renormalization flows, are discussed. Our results are general and can thus be used for dualities beyond AdS/CFT.
Cite
@article{arxiv.hep-th/0612150,
title = {Variational Methods in AdS/CFT},
author = {T. Andrade and M. Banados and F. Rojas},
journal= {arXiv preprint arXiv:hep-th/0612150},
year = {2009}
}
Comments
14 pages, no figures, LaTeX, minor change in footnote