Holographic spacetime from lattice Yang-Mills theory

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.

Entanglement entropy from non-equilibrium lattice simulations

“…While the analytical computation of entropic c-functions can be carried out only for highly symmetric systems, also their numerical estimate is difficult, due to the non-local nature of the observable, to the high computational costs to sample the space of configurations, and to the limited scalability to systems defined in more than 1 + 1 dimensions [7][8][9][10][11][12]. In this contribution we present a new method to tackle these challenges and to evaluate the entropic c-function by means of nonequilibrium Monte Carlo simulations, that we recently applied to the Ising model in two and in three dimensions [13].…”