Running Scaling Dimensions in Holographic Renormalization Group Flows
arXiv:1006.2987 · doi:10.1007/JHEP08(2010)085
Abstract
Holographic renormalization group flows can be interpreted in terms of effective field theory. Based on such an interpretation, a formula for the running scaling dimensions of gauge-invariant operators along such flows is proposed. The formula is checked for some simple examples from the AdS/CFT correspondence, but can be applied also in non-AdS/non-CFT cases.
14 pages, 2 figures
References in corpus (31)
- Gauge Theory Correlators from Non-Critical String Theory
- The Holographic Weyl anomaly
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- Lecture Notes on Holographic Renormalization
- AdS/CFT Correspondence and Symmetry Breaking
- Holographic Renormalization
- On the Holographic Renormalization Group
- Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics
- Seeing a c-theorem with holography
- How to go with an RG Flow
- A remark on the AdS/CFT correspondence and the renormalization group flow
- Correlation Functions in Holographic RG Flows
- Geometric Holography, the Renormalization Group and the c-Theorem
- Holographic Renormalization and Ward Identities with the Hamilton-Jacobi Method
- An N = 2 Supersymmetric Membrane Flow
- AdS/CFT correspondence and Geometry
- N=1 Supersymmetric Renormalization Group Flows from IIB Supergravity
- Bulk Dynamics in Confining Gauge Theories
- Holographic renormalization of cascading gauge theories
- On running couplings in gauge theories from type-IIB supergravity
- RG Fixed Points in Supergravity Duals of 4-d Field Theory and Asymptotically AdS Spaces
- Three-Dimensional SCFTs, Supersymmetric Domain Wall and Renormalization Group Flow
- New Results on Holographic Three-Point Functions
- Supersymmetric Domain Wall and RG Flow from 4-Dimensional Gauged N=8 Supergravity
- A Note on the Holographic Beta and C Functions
- A Note On Relation Between Holographic RG Equation And Polchinski's RG Equation
- Correlation Functions in Holographic Renormalization Group Flows
- A Field-theoretical Interpretation of the Holographic Renormalization Group
- Regular and Irregular Boundary Conditions in the AdS/CFT Correspondence
- Towards Holographic Renormalization of Fake Supergravity
- Spectral Functions in Holographic Renormalization Group Flows