Holographic spacetime from lattice Yang-Mills theory

TL;DR

This paper introduces an improved lattice method to compute entanglement entropy in strongly interacting gauge theories, enabling the numerical reconstruction of holographic bulk metrics in Yang-Mills theories.

Contribution

The authors develop a new lattice approach that overcomes previous signal-to-noise issues, facilitating high-precision entanglement entropy calculations in 3D and 4D Yang-Mills theories.

Findings

Successful numerical reconstruction of holographic bulk metrics

Mitigation of signal-to-noise problem in lattice entanglement entropy calculations

Validation of holographic predictions in non-Abelian gauge theories

Abstract

Entanglement entropy is a notoriously difficult quantity to compute in strongly interacting gauge theories. Existing lattice replica methods have suffered from a severe signal-to-noise ratio problem, making high-precision studies prohibitively expensive. Our improved lattice method mitigates this situation and allows us to probe holographic predictions for the behavior of entanglement entropies in three- and four-dimensional Yang-Mills theories. We use this data for the numerical reconstruction of holographic bulk metrics.