A Spacetime Calculation of the Calabrese-Cardy Entanglement Entropy
General Relativity and Quantum Cosmology
2021-08-24 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2104.08449,
title = {A Spacetime Calculation of the Calabrese-Cardy Entanglement Entropy},
author = {Abhishek Mathur and Sumati Surya and Nomaan X},
journal= {arXiv preprint arXiv:2104.08449},
year = {2021}
}
Comments
13 pages, 9 figures