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Variational methods in AdS/CFT correspondence

Journal Article · · Physical Review. D, Particles Fields
; ;  [1]
  1. Departamento de Fisica, P. Universidad Catolica de Chile, Casilla 306, Santiago 22 (Chile)
We prove that the AdS/CFT calculation of 1-point functions can be drastically simplified by using variational arguments. We give a simple 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.
OSTI ID:
21020192
Journal Information:
Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 75; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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