Correlation functions in holographic RG flows
@article{Papadimitriou2004CorrelationFI, title={Correlation functions in holographic RG flows}, author={Ioannis Papadimitriou and Kostas Skenderis}, journal={Journal of High Energy Physics}, year={2004}, volume={2004}, pages={075-075} }
We discuss the computation of correlation functions in holographic RG flows. The method utilizes a recently developed hamiltonian version of holographic renormalization and it is more efficient than previous methods. A significant simplification concerns the treatment of infinities: instead of performing a general analysis of counterterms, we develop a method where only the contribution of counterterms to any given correlators needs to be computed. For instance, the computation of renormalized…
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References
SHOWING 1-10 OF 65 REFERENCES
Notes on Fluctuations and Correlation Functions in Holographic Renormalization Group Flows
- Physics
- 2000
We study the coupled equations describing fluctuations of scalars and the metric about background solutions of N=8 gauged supergravity which are dual to boundary field theories with renormalization…
A Note on the Weyl anomaly in the holographic renormalization group
- Physics
- 2000
We give a prescription for calculating the holographic Weyl anomaly in arbitrary dimension within the framework based on the Hamilton-Jacobi equation proposed by de Boer, Verlinde and Verlinde. A few…
How to go with an RG flow
- Physics
- 2001
We apply the formalism of holographic renormalization to domain wall solutions of 5-dimensional supergravity which are dual to deformed conformal field theories in 4 dimensions. We carefully compute…
AdS/CFT correspondence and geometry
- Physics
- 2004
In the first part of this paper we provide a short introduction to the AdS/CFT correspondence and to holographic renormalization. We discuss how QFT correlation functions, Ward identities and…
Lecture notes on holographic renormalization
- PhysicsClassical and Quantum Gravity
- 2002
We review the formalism of holographic renormalization. We start by discussing mathematical results on asymptotically anti-de Sitter (AdS) spacetimes. We then outline the general method of…