Renormalization Group and Curved Spacetime
Statistical Mechanics
2011-06-29 v1 High Energy Physics - Theory
Abstract
We examine the role of curved geometry on renormalization group by means of image compression based on the singular value decomposition. By calculating course-grained images and their entanglement entropy, we find the anti-de Sitter space / conformal field theory correspondence hidden in the compression. The correspondence is originated from the conservation law for information. We discuss how one particular metric is automatically induced from various images. A formula for resolution of the course-grained images is also derived.
Keywords
Cite
@article{arxiv.1106.5624,
title = {Renormalization Group and Curved Spacetime},
author = {Hiroaki Matsueda},
journal= {arXiv preprint arXiv:1106.5624},
year = {2011}
}
Comments
4 pages, 5 figures