2010/10/31 by Thomas Faulkner, Hong Liu, Mukund Rangamani
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #hep-th
paper · pdf · doi:10.1007/jhep08(2011)051
published as JHEP 1108:051,2011 · 21 pages, 2 figures; references added, minor changes
arxiv created 2011/04/05 · openalex publication_date 2011/08/01 · arxiv updated 2011/08/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
We formulate a holographic Wilsonian renormalization group flow for strongly coupled systems with a gravity dual, motivated by the need to extract efficiently low energy behavior of such systems. Starting with field theories defined on a cut-off surface in a bulk spacetime, we propose that integrating out high energy modes in the field theory should correspond to integrating out a part of the bulk geometry. We describe how to carry out this procedure in practice in the classical gravity approximation using examples of scalar and vector fields. By integrating out bulk degrees of freedom all the way to a black hole horizon, this formulation defines a refined version of the black hole membrane paradigm. Furthermore, it also provides a derivation of the semi-holographic description of low energy physics.