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arXiv · 1106.5624

Renormalization Group and Curved Spacetime

Hiroaki Matsueda
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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.

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Hiroaki Matsueda. 2011-06-28. Renormalization Group and Curved Spacetime. https://arxiv.org/abs/1106.5624

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