Mutual information in Generalized Free Theories and Holography

Abstract

We study the mutual information between disjoint regions in generalized free field theories, which are defined as quantum field theories whose two-point functions are given in terms of a generalized density of states, with all connected higher-point functions vanishing. These theories are of particular interest because their holographic dual is described by a free field theory in Anti-de Sitter space in one higher dimension. In this work, we compute the entanglement entropy in the holographic dual by discretizing the bulk theory on a lattice.