Entanglement Renormalization and Two Dimensional String Theory
High Energy Physics - Theory
2016-03-29 v3 Strongly Correlated Electrons
Quantum Physics
Abstract
The entanglement renormalization flow of a (1+1) free boson is formulated as a path integral over some auxiliary scalar fields. The resulting effective theory for these fields amounts to the dilaton term of non-critical string theory in two spacetime dimensions. A connection between the scalar fields in the two theories is provided, allowing to acquire novel insights into how a theory of gravity emerges from the entanglement structure of another one without gravity.
Cite
@article{arxiv.1510.09020,
title = {Entanglement Renormalization and Two Dimensional String Theory},
author = {Javier Molina-Vilaplana},
journal= {arXiv preprint arXiv:1510.09020},
year = {2016}
}
Comments
20 pages. v3 minor corrections. Accepted for publication in Physics Letters B