Entanglement as a Probe of Confinement

Understand

We investigate the entanglement entropy in gravity duals of confining large $N_c$ gauge theories using the proposal of arXiv:hep-th/0603001, arXiv:hep-th/0605073.

• Dividing one of the directions of space into a line segment of length $l$ and its complement, the entanglement entropy between the two subspaces is given by the classical action of the minimal bulk hypersurface which approaches the endpoints of the line segment at the boundary.
• We find that in confining backgrounds there are generally two such surfaces.
• One consists of two disconnected components localized at the endpoints of the line segment.