Connecting Entanglement Renormalization and Gauge/Gravity dualities

Details Connecting Entanglement Renormalization and Gauge/Gravity dualities Connecting Entanglement Renormalization and Gauge/Gravity dualities

2011-09-26

arxiv.org/abs/1109.5592v2

Physics

Quantum Physics

14 pages, 2 figures. version 2: Abstract modified. Revised arguments in sections 4 & 5. Discussion & Conclusions sections adde

Scientific paper

In this work we provide additional support for the proposed connection between the gauge/gravity dualities in string theory and the successful Multi-Scale-Entanglement-Renormalization-anstaz (MERA) method developed for the efficient simulation of quantum many body systems at criticality. This support comes by showing an explicit formal equivalence between the real space renormalization group (RG) flow of the two point correlation functions in different types of MERA states and the holographic RG flow of these correlation functions in asymptotically Anti de Sitter (AdS) spacetimes. These observations may be useful in order to formalize and make more precise the connection between the properties of different MERA states and their potential holographic descriptions.

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