Entanglement entropy and 2d black holes

TL;DR

This paper investigates entanglement entropy in 2D black holes using a solvable lattice model of scalar fields, aiming to reproduce black hole entropy formulas through large N limits.

Contribution

Introduces a lattice model of coupled oscillators to compute entanglement entropy, connecting it to black hole entropy in 2D.

Findings

Large N limit reproduces Bekenstein-Hawking entropy

Model provides a solvable framework for entanglement entropy in black holes

Finite volume and lattice spacing effects analyzed

Abstract

We explore the method of entanglement entropy applied to 2d black holes. We introduce a solvable model of a real scalar field with finite volume and lattice spacing in terms of $N$ coupled mechanical oscillators and compute its entanglement entropy in many cases. The large $N$ limit of this scheme, with finite lattice spacing, should reproduce the Bekenstein-Hawking formula for black hole entropy.