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 Variational Methods in AdS-CFT

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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.

Autor: T. Andrade; M. Banados; F. Rojas


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