ar X iv : 0 80 2 . 10 17 v 2 [ he p - th ] 2 2 Fe b 20 08 Entanglement Entropy , Trace Anomalies and Holography ∗

ar X iv : 0 80 2 . 10 17 v 1 [ he p - th ] 7 F eb 2 00 8 Entanglement Entropy , Trace Anomalies and Holography ∗

The holographic representation of the entanglement entropy of four dimensional conformal field theories is studied. By generalizing the replica trick the anomalous terms in the entanglement entropy are evaluated. The same terms in the holographic representation are calculated by a method which does not require the solution of the equations of motion or a cut off. The two calculations disagree f...

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

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 ...

ar X iv : 0 80 1 . 48 21 v 2 [ he p - ph ] 2 8 Fe b 20 08 X ( 1835 ) and η ( 1760 ) observed by BES Collaboration

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.

ar X iv : 0 80 6 . 39 76 v 1 [ he p - th ] 2 4 Ju n 20 08 Black Hole Entropy and Gravity Cutoff

We study the black hole entropy as entanglement entropy and propose a resolution to the species puzzle. This resolution comes out naturally due to the fact that in the presence of N species the universal gravitational cutoff is Λ = MPlanck/ √ N , as opposed to MPlanck. We demonstrate consistency of our solution by showing the equality of the two entropies in explicit examples in which the relat...