ar X iv : 0 80 1 . 41 11 v 1 [ he p - th ] 2 7 Ja n 20 08 Entanglement entropy in d + 1 SU ( N ) gauge theory
نویسنده
چکیده
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.
منابع مشابه
ar X iv : 0 80 9 . 45 02 v 1 [ he p - la t ] 2 5 Se p 20 08 Entanglement entropy in SU ( N ) gauge theory
The entanglement entropy of SU(N) lattice gauge theory is studied exactly in 1 + 1 space-time dimensions and in Migdal-Kadanoff approximation in higher dimensional space. The existence of a non-analytical behavior reminiscent of a phase transition for a characteristic size of the entangled region is demonstrated for higher dimensional theories.
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