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Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm

Faulkner, Thomas; Liu, Hong; Rangamani, Mukund

Authors

Thomas Faulkner

Hong Liu

Mukund Rangamani



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.

Citation

Faulkner, T., Liu, H., & Rangamani, M. (2011). Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm. Journal of High Energy Physics, 2011(8), Article 051. https://doi.org/10.1007/jhep08%282011%29051

Journal Article Type Article
Publication Date Aug 16, 2011
Deposit Date Nov 24, 2010
Publicly Available Date Mar 28, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2011
Issue 8
Article Number 051
DOI https://doi.org/10.1007/jhep08%282011%29051
Keywords Gauge-gravity correspondence, AdS-CFT correspondence, Holography and condensed matter physics (AdS/CMT), Renormalization Group.

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