We systematically develop the procedure of holographic renormalization for RG flows dual to asymptotically Ads domain walls. All divergences of the on-shell bulk action can be cancelled by adding covariant local boundary counterterms determined by the near-boundary behavior of bulk fields. This procedure defines a renormalized action from which correlation functions are obtained by functional differentiation. The correlators are finite and well behaved at coincident points. Ward identities, corrected for anomalies, are satisfied. The correlators depend on parts of the solution of the bulk field equations which are not determined by near-boundary analysis. In principle a full nonlinear solution is required, but one can solve linearized fluctuation equations to define a bulk-to-boundary propagator from which 2-point correlation functions are easily obtained. We carry out the procedure explicitly for two known RG flows obtained from the maximal gauged D = 5 supergravity theory, obtaining new results on correlators of vector currents and related scalar operators and giving further details on a recent analysis of the stress tensor sector.

Bianchi, M., Freedman, D., Skenderis, K. (2002). Holographic renormalization. NUCLEAR PHYSICS. B, 631(1-2), 159-194 [10.1016/S0550-3213(02)00179-7].

Holographic renormalization

BIANCHI, MASSIMO;
2002-01-01

Abstract

We systematically develop the procedure of holographic renormalization for RG flows dual to asymptotically Ads domain walls. All divergences of the on-shell bulk action can be cancelled by adding covariant local boundary counterterms determined by the near-boundary behavior of bulk fields. This procedure defines a renormalized action from which correlation functions are obtained by functional differentiation. The correlators are finite and well behaved at coincident points. Ward identities, corrected for anomalies, are satisfied. The correlators depend on parts of the solution of the bulk field equations which are not determined by near-boundary analysis. In principle a full nonlinear solution is required, but one can solve linearized fluctuation equations to define a bulk-to-boundary propagator from which 2-point correlation functions are easily obtained. We carry out the procedure explicitly for two known RG flows obtained from the maximal gauged D = 5 supergravity theory, obtaining new results on correlators of vector currents and related scalar operators and giving further details on a recent analysis of the stress tensor sector.
2002
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
English
Con Impact Factor ISI
ads/cft correspondence; supergravity duals; gravity; anomalies; tensor; energy; flow
http://www.sciencedirect.com/science/article/pii/S0550321302001797
Bianchi, M., Freedman, D., Skenderis, K. (2002). Holographic renormalization. NUCLEAR PHYSICS. B, 631(1-2), 159-194 [10.1016/S0550-3213(02)00179-7].
Bianchi, M; Freedman, D; Skenderis, K
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/56720
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