2011/05/03 by JiJi Fan
Physics and Astronomy · #Black Holes and Theoretical Physics #Cutoff #Effective field theory #Field (mathematics) #Field theory (psychology) #Fixed point #Flow (mathematics) #Quantum Electrodynamics and Casimir Effect #Renormalization #Scaling #Scaling dimension #Topological Materials and Phenomena #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep09(2011)136
20 pages, 3 figures
arxiv created 2011/05/03 · openalex publication_date 2011/09/01 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
For an effective AdS theory, we present a simple prescription to compute the renormalization of its dual boundary field theory. In particular, we define anomalous dimension holographically as the dependence of the wave-function renormalization factor on the radial cutoff in the Poincare patch of AdS. With this definition, the anomalous dimensions of both single- and double- trace operators are calculated. Three different dualities are considered with the field theory being CFT, CFT with a double-trace deformation and spontaneously broken CFT. For the second dual pair, we compute scaling corrections at the UV and IR fixed points of the RG flow triggered by the double-trace deformation. For the last case, we discuss whether our prescription is sensitive to the AdS interior or equivalently, the IR physics of the dual field theory.