Edge States and Entanglement Entropy
arXiv:hep-th/9512047 · doi:10.1142/S0217751X97000578
Abstract
It is known that gauge fields defined on manifolds with spatial boundaries support states localized at the boundaries. In this paper, we demonstrate how coarse-graining over these states can lead to an entanglement entropy. In particular, we show that the entanglement entropy of the ground state for the quantum Hall effect on a disk exhibits an approximate ``area " law.
16 pages, minor corrections and futher details added