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Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm

Thomas Faulkner
(
- Santa Barbara, KITP
)
,
Hong Liu
(
- MIT, LNS
)
,
Mukund Rangamani
(
- Durham U. and
- Durham U., Dept. of Math.
)

Oct, 2010

21 pages

Published in:

JHEP 08 (2011) 051

e-Print:

1010.4036 [hep-th]

DOI:

10.1007/JHEP08(2011)051

Report number:

MIT-CTP-4185,
DCPT-10-47

View in:

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Abstract: (arXiv)

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.

Note:

21 pages, 2 figures/ references added, minor changes

Gauge-gravity correspondence
AdS-CFT Correspondence
Holography and condensed matter physics (AdS/CMT)
Renormalization Group
gravitation: classical
gravitation: duality
field theory: vector
black hole: horizon
renormalization: holography
renormalization group: flow

References(63)

Figures(2)

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