The Fermionic Entanglement Entropy of Causal Diamonds in Two-Dimensional Minkowski Space

TL;DR

This paper investigates the fermionic Rényi entanglement entropy in two-dimensional Minkowski spacetime causal diamonds, deriving a logarithmic area law using a regularized Minkowski vacuum state.

Contribution

It introduces a calculation of fermionic entanglement entropy in 2D Minkowski space and establishes a logarithmic area law for causal diamonds.

Findings

Logarithmic enhancement of the area law for fermionic entanglement entropy.

Use of a quasi-free state with ultraviolet regularization.

Derivation of explicit entropy formulas for causal diamonds.

Abstract

The fermionic R\'enyi entanglement entropy is studied for causal diamonds in two-dimensional Minkowski spacetime. Choosing the quasi-free state describing the Minkowski vacuum with an ultraviolet regularization, a logarithmically enhanced area law is derived.