2013/11/27 by Mehdi Saravani, Rafael D. Sorkin, Yasaman K. Yazdi · 2 citations
Physics and Astronomy · #hep-th #cond-mat.stat-mech #gr-qc
paper · pdf · doi:10.1088/0264-9381/31/21/214006
published as Class. Quantum Grav. 31 214006 (2014) · 20 pages, 5 figures
arxiv created 2013/11/27 · arxiv updated 2020/12/25
arXiv:1205.2953 defines an entropy for a gaussian scalar field ϕ in an arbitrary region of either a causal set or a continuous spacetime, given only the correlator ⟨ϕ(x)ϕ(y)⟩ within the region. As a first application, we compute numerically the entanglement entropy in two cases where the asymptotic form is known or suspected from conformal field theory, finding excellent agreement when the required ultraviolet cutoff is implemented as a truncation on spacetime mode-sums. We also show how the symmetry of entanglement entropy reflects the fact that RS and SR share the same eigenvalues, R and S being arbitrary matrices.