Quantum corrections to holographic entanglement entropy

TL;DR

This paper investigates quantum corrections to the holographic entanglement entropy, proposing that one-loop bulk corrections are given by the bulk entanglement entropy across the minimal surface, extending the Ryu-Takayanagi formula.

Contribution

It introduces a one-loop correction to the holographic entanglement entropy formula, linking bulk quantum effects to entanglement entropy across the minimal surface.

Findings

Bulk loop correction approximates bulk entanglement entropy

Checks support the proposed correction formula

Extends the Ryu-Takayanagi prescription

Abstract

We consider entanglement entropy in quantum field theories with a gravity dual. In the gravity description, the leading order contribution comes from the area of a minimal surface, as proposed by Ryu-Takayanagi. Here we describe the one loop correction to this formula. The minimal surface divides the bulk into two regions. The bulk loop correction is essentially given by the bulk entanglement entropy between these two bulk regions. We perform some simple checks of this proposal.