ar X iv : 1 40 6 . 27 16 v 2 [ he p - th ] 1 6 Ju n 20 14 Entanglement Entropy Flow and the Ward Identity Vladimir
نویسندگان
چکیده
We derive differential equations for the flow of entanglement entropy as a function of the metric and the couplings of the theory. The variation of the universal part of entanglement entropy under a local Weyl transformation is related to the variation under a local change in the couplings. We show that this relation is in fact equivalent to the trace Ward identity. As a concrete application of our formalism, we express the entanglement entropy for massive free fields as a two-point function of the energy-momentum tensor.
منابع مشابه
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...
متن کاملar X iv : 1 51 1 . 02 99 6 v 1 [ he p - th ] 1 0 N ov 2 01 5 When is an area law not an area law ?
Entanglement entropy is typically proportional to area, but sometimes it acquires an additional logarithmic pre-factor. We offer some intuitive explanations for these facts.
متن کاملar X iv : 0 70 6 . 16 03 v 1 [ he p - th ] 1 2 Ju n 20 07 Solutions of Bethe - Salpeter equation in QED
Abstract To understand the mechanism of the fermion pair and fermion-antifermion pair condensation,existence of the solutions of Bethe-Salpeter equation in QED3 is examined.In the ladder appoximation our solution for the axialscalar is consistent with Ward-Takahashi-identity for the axial vector currents.In addition to massless psedoscalar fermion-antifermion (fa) system there exists solutions ...
متن کاملar 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 ...
متن کاملThe Complexity of Identifying Ryu-Takayanagi Surfaces in AdS3/CFT2
We present a constructive algorithm for the determination of Ryu-Takayanagi surfaces in AdS3/CFT2 which exploits previously noted connections between holographic entanglement entropy and max-flow/min-cut. We then characterize its complexity as a polynomial time algorithm. ar X iv :1 60 9. 01 72 7v 2 [ he pth ] 2 6 Se p 20 16
متن کامل