Correlation Functions in Holographic RG Flows
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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
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