Entanglement Entropy and Causal Set Theory

TL;DR

This paper reviews a formulation of entanglement entropy using spacetime two-point functions and explores its applications in causal set theory across different spacetime geometries and quantum field theories.

Contribution

It introduces a unified approach to compute entanglement entropy in causal set theory and applies it to various spacetime configurations and quantum field models.

Findings

Effective calculation of entanglement entropy in causal set frameworks.

Application to multiple spacetime geometries including flat and de Sitter.

Extension to nonlocal quantum field theories.

Abstract

We review a formulation of the entanglement entropy of a quantum scalar field in terms of its spacetime two-point correlation functions. We discuss applications of this formulation to studying entanglement entropy in various settings in causal set theory. These settings include sprinklings of causal diamonds in various dimensions in flat spacetime, de Sitter spacetime, massless and massive theories, multiple disjoint regions, and nonlocal quantum field theories.