Entanglement entropy in d+1 SU(N) gauge theory

We consider the entanglement entropy for a sub-system in d+1 dimensional SU(N) lattice gauge theory. The 1+1 gauge theory is treated exactly and shows trivial behavior. Gauge theories in higher dimensions are treated within Migdal-Kadanoff approximation. We consider the gauge theory in the confinement phase. We demonstrate the existence of a non-analytical change from the short distance to long distance form in the entanglement entropy in such systems (d>2) reminiscent of a phase transition. The transition is manifested in nontrivial change in the RG flow of the character expansion coefficients defining the partition function.

12.38.Aw
11.15.Ha
gauge field theory: SU(N)
dimension: 2
dimension: >2
lattice field theory
entropy
renormalization group: transformation
expansion 1/N: color
expansion: strong coupling

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