Correlation Functions in Holographic RG Flows
arXiv:hep-th/0407071 · doi:10.1088/1126-6708/2004/10/075
Abstract
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 correlator needs to be computed. For instance, the computation of renormalized 2-point functions requires only an analysis at the linearized level. We illustrate the method by discussing flat and AdS-sliced domain walls. In particular, we discuss correlation functions of the Janus solution, a recently discovered non-supersymmetric but stable AdS-sliced domain wall.
33 pages, v2 additional material on Janus solution, typos corrected, refs added, v3 additional comments on Janus solution, figure added, version to appear in JHEP
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