Entanglement Entropy and Causal Set Theory
High Energy Physics - Theory
2024-12-06 v1 Statistical Mechanics
General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2212.13586,
title = {Entanglement Entropy and Causal Set Theory},
author = {Yasaman K. Yazdi},
journal= {arXiv preprint arXiv:2212.13586},
year = {2024}
}
Comments
Invited chapter for the Causal Sets section of the Handbook of Quantum Gravity (Eds. C. Bambi, L. Modesto and I. L. Shapiro, Springer, expected in 2023)