TY - JOUR

T1 - Variational methods in AdS/CFT correspondence

AU - Andrade, Tomás

AU - Bañados, Máximo

AU - Rojas, Francisco

PY - 2007/3/16

Y1 - 2007/3/16

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33947360784&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.75.065013

DO - 10.1103/PhysRevD.75.065013

M3 - Article

AN - SCOPUS:33947360784

SN - 1550-7998

VL - 75

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 6

M1 - 065013

ER -