A Spacetime Calculation of the Calabrese-Cardy Entanglement Entropy

Abstract

We calculate Sorkin's spacetime entanglement entropy of a Gaussian scalar field for complementary regions in the 2d cylinder spacetime and show that it has the Calabrese-Cardy form. We find that the cut-off dependent term is universal when we use a covariant UV cut-off. In addition, we show that the relative size-dependent term exhibits complementarity. Its coefficient is however not universal and depends on the choice of pure state. It asymptotes to the universal form within a natural class of pure states.

13 pages, 9 figures

References in corpus (4)

• On a Recent Construction of "Vacuum-like" Quantum Field States in Curved Spacetime
• Algebraic quantum theory
• Lectures on entanglement entropy in field theory and holography
• A Spacetime Calculation of the Calabrese-Cardy Entanglement Entropy

Cited by in corpus (4)

• Entanglement Entropy of Disjoint Spacetime Intervals in Causal Set Theory
• Spacetime Entanglement Entropy: Covariance and Discreteness
• Spacetime Entanglement Entropy of de Sitter and Black Hole Horizons
• A Spacetime Calculation of the Calabrese-Cardy Entanglement Entropy