Understanding the holographic principle via RG flow
arXiv:1612.00141 · doi:10.1142/S0217751X16300593
Abstract
This is a review of some recent works which demonstrate how the classical equations of gravity in AdS themselves hold the key to understanding their holographic origin in the form of a strongly coupled large QFT whose algebra of local operators can be generated by a few (single-trace) elements. I discuss how this can be realised by reformulating Einstein's equations in AdS in the form of a non-perturbative RG flow that further leads to a new approach towards constructing strongly interacting QFTs. In particular, the RG flow can self-determine the UV data that are otherwise obtained by solving classical gravity equations and demanding that the solutions do not have naked singularities. For a concrete demonstration, I focus on the hydrodynamic limit in which case this RG flow connects the AdS/CFT correspondence with the membrane paradigm, and also reproduces the known values of the dual QFT transport coefficients.
19 pages; invited review to IJMPA
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Cited by in corpus (5)
- Holographic spacetime, black holes and quantum error correcting codes: A review
- Illustrated study of the semi-holographic non-perturbative framework
- Holographic Gubser flow: A combined analytic and numerical study
- How Gubser flow ends in a holographic conformal theory
- Holographic RG from ERG: Locality and General Coordinate Invariance in the Bulk