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Integrating out geometry : holographic Wilsonian RG and the membrane paradigm.

Faulkner, Thomas and Liu, Hong and Rangamani, Mukund (2011) 'Integrating out geometry : holographic Wilsonian RG and the membrane paradigm.', Journal of high energy physics., 2011 (8). p. 51.

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.

Item Type:Article
Keywords:Gauge-gravity correspondence, AdS-CFT correspondence, Holography and condensed matter physics (AdS/CMT), Renormalization Group.
Full text:PDF (arXiv version) - Other (876Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/JHEP08(2011)051
Publisher statement:© SISSA 2011. Published for SISSA by Springer. The final publication is available at Springer via http://dx.doi.org/10.1007/JHEP08(2011)051.
Record Created:07 Sep 2012 10:20
Last Modified:17 Jun 2015 14:18

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