Confinement, Phase Transitions and non-Locality in the Entanglement Entropy

Understand

In this paper we study the conjectural relation between confinement in a quantum field theory and the presence of a phase transition in its corresponding entanglement entropy.

• We determine the sufficient conditions for the latter and compare to the conditions for having a confining Wilson line.
• We demonstrate the relation in several examples.
• Superficially, it may seem that certain confining field theories with a non-local high energy behaviour, like the dual of D5 branes wrapping a two-cycle, do not admit the corresponding phase transition.