2009/05/08 by Brian Swingle · 7 citations
Physics and Astronomy · #cond-mat.str-el #hep-th
paper · pdf · doi:10.1103/physrevd.86.065007
published as Phys. Rev. D 86, 065007 (2012) · 15 pages, 5 figures
arxiv created 2009/05/08 · arxiv updated 2012/10/03
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.