A Quantum Bousso Bound

TL;DR

This paper proposes a quantum modification to the Bousso bound by incorporating entanglement entropy, and proves its validity in a two-dimensional large N dilaton gravity model.

Contribution

It introduces a quantum Bousso bound that accounts for entanglement entropy and demonstrates its validity in a specific gravity theory.

Findings

Quantum effects can violate the classical Bousso bound.

Adding entanglement entropy restores the bound at the quantum level.

The quantum Bousso bound is proven in a 2D large N dilaton gravity model.

Abstract

The Bousso bound requires that one quarter the area of a closed codimension two spacelike surface exceeds the entropy flux across a certain lightsheet terminating on the surface. The bound can be violated by quantum effects such as Hawking radiation. It is proposed that at the quantum level the bound be modified by adding to the area the quantum entanglement entropy across the surface. The validity of this quantum Bousso bound is proven in a two-dimensional large N dilaton gravity theory.