Confinement, phase transitions and non-locality in the entanglement entropy

Uri Kol, Carlos Núñez, Daniel Schofield, Jacob Sonnenschein, Michael Warschawski

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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 behavior, like the dual of D5 branes wrapping a two-cycle, do not admit the corresponding phase transition. However, upon closer inspection we find that, through the introduction of a regulating UV-cutoff, new eight-surface configurations appear, that satisfy the correct concavity condition and recover the phase transition in the entanglement entropy. We show that a local-UV-completion to the confining non-local theories has a similar effect to that of the aforementioned cutoff.

Original languageEnglish
Article number5
JournalJournal of High Energy Physics
Issue number6
StatePublished - Jun 2014


  • 't Hooft and Polyakov loops
  • AdS-CFT Correspondence
  • Confinement
  • Gauge-gravity correspondence
  • Wilson


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