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arXiv · 0905.1317

Entanglement Renormalization and Holography

Brian Swingle
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Abstract

I 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 in this geometric framework. The relationship between this framework and better understood versions of holography is discussed.

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Brian Swingle. 2009-05-08. Entanglement Renormalization and Holography. https://doi.org/10.1103/physrevd.86.065007

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