Integrating out geometry: holographic Wilsonian RG and the membrane paradigm
Author(s)
Faulkner, Thomas
Liu, Hong
Rangamani, Mukund
Date Issued
August 2011
Journal
Journal of High Energy Physics
Publisher
Spring Berlin/Heidelberg
Citation
Faulkner, Thomas, Hong Liu, and Mukund Rangamani. “Integrating out geometry: holographic Wilsonian RG and the membrane paradigm.” Journal of High Energy Physics 2011.8 (2011)
Version
Author's final manuscript
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/jhep08(2011)051
