Entanglement renormalization and holography
Name
Swingle-2012-Entanglement renormalization and holography.pdf
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213.39 KB
Format
Adobe PDF
Checksum (MD5)
19f5a09ca8c2bbc04f5c93dc4619cb77
Author(s)
Swingle, Brian Gordon
Date Issued
September 2012
Journal
Physical Review D
Publisher
American Physical Society
Citation
Swingle, Brian. “Entanglement Renormalization and Holography.” Physical Review D 86.6 (2012). © 2012 American Physical Society
Version
Final published version
Abstract
We show how recent progress in real space renormalization group methods can be used to define a generalized notion of holography inspired by holographic dualities in quantum gravity. The generalization is based upon organizing information in a quantum state in terms of scale and defining a higher-dimensional geometry from this structure. While states with a finite correlation length typically give simple geometries, the state at a quantum critical point gives a discrete version of anti-de Sitter space. Some finite temperature quantum states include black hole-like objects. The gross features of equal time correlation functions are also reproduced.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevD.86.065007
