Thomas Faulkner
Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm
Faulkner, Thomas; Liu, Hong; Rangamani, Mukund
Authors
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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Copyright Statement
arXiv version
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