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Edge States and Entanglement Entropy

A. P. Balachandran, L. Chandar, Arshad Momen

hep-tharXiv:hep-th/9512047

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.

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