Variational methods in AdS/CFT correspondence

Journal Article · Thu Mar 15 00:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.065013· OSTI ID:21020192

Andrade, Tomas; Banados, Maximo; Rojas, Francisco ^[1]

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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, Vol. 75, Issue 6; Other Information: DOI: 10.1103/PhysRevD.75.065013; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
DUALITY
GRAVITATION
LAGRANGIAN FUNCTION
QUANTUM FIELD THEORY
RENORMALIZATION
SCALARS
SEMICLASSICAL APPROXIMATION
VARIATIONAL METHODS