Variational Methods in AdS/CFT

Details Variational Methods in AdS/CFT Variational Methods in AdS/CFT

2006-12-14

arxiv.org/abs/hep-th/0612150v3

Phys.Rev.D75:065013,2007

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figures, LaTeX, minor change in footnote

Scientific paper

10.1103/PhysRevD.75.065013

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.

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