Some Calculable Contributions to Holographic Entanglement Entropy
arXiv:1105.6055 · doi:10.1007/JHEP08(2011)039
Abstract
Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the coefficient of this term is independent of the state of the boundary theory. In fact, the same is true of all of the coefficients of contributions which diverge as some power of the UV cut-off. Secondly, we show that the relevant deformation introduces new logarithmic contributions to the entanglement entropy. The form of some of these new contributions is similar to that found recently in an investigation of entanglement entropy in a free massive scalar field theory [1].
52 pages, no figures
References in corpus (12)
- Towards a derivation of holographic entanglement entropy
- Holographic c-theorems in arbitrary dimensions
- Entanglement as a Probe of Confinement
- Entanglement entropy, conformal invariance and extrinsic geometry
- On Holographic Entanglement Entropy and Higher Curvature Gravity
- Remarks on the entanglement entropy for disconnected regions
- Entanglement Entropy, Trace Anomalies and Holography
- Unusual Corrections to Scaling in Entanglement Entropy
- Universal entanglement entropy in 2D conformal quantum critical points
- Some Calculable Contributions to Entanglement Entropy
- Thermodynamics of the N=2^* strongly coupled plasma
- Mutual information challenges entropy bounds
Cited by in corpus (69)
- Circuit complexity in quantum field theory
- Relative Entropy and Holography
- Comments on Holographic Complexity
- A refinement of entanglement entropy and the number of degrees of freedom
- Comments on Holographic Entanglement Entropy and RG Flows
- Circuit complexity in interacting QFTs and RG flows
- Path-Integral Complexity for Perturbed CFTs
- On Volumes of Subregions in Holography and Complexity
- Quantum quenches of holographic plasmas
- Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
- Holographic Proof of the Quantum Null Energy Condition
- Holographic Holes in Higher Dimensions
- Corner contributions to holographic entanglement entropy
- Entanglement Entropy: A Perturbative Calculation
- Entanglement Entropy for Singular Surfaces
- On Spacetime Entanglement
- Entanglement Entropy for Relevant and Geometric Perturbations
- Relative entropy and the RG flow
- Observations on entanglement entropy in massive QFT's
- Surface Counterterms and Regularized Holographic Complexity
- Nonlocal probes of thermalization in holographic quenches with spectral methods
- Numerical determination of the entanglement entropy for free fields in the cylinder
- On shape dependence of holographic mutual information in AdS4
- Comments on Holographic Entanglement Entropy in TT Deformed CFTs
- Divergences in the rate of complexification
- Complexity of Holographic Superconductors
- Area terms in entanglement entropy
- Entanglement entropy of a Maxwell field on the sphere
- Energy is Entanglement
- Entanglement entropy, planar surfaces, and spectral functions
- Spread of entanglement for small subsystems in holographic CFTs
- Comments on Jacobson's "Entanglement equilibrium and the Einstein equation"
- Holographic Fidelity Susceptibility
- On periodically driven AdS/CFT
- The Holographic Dictionary for Beta Functions of Multi-trace Coupling Constants
- Renormalization group flow of entanglement entropy on spheres
- Generalized gravitational entropy of probe branes: flavor entanglement holographically
- Holographic entanglement entropy in the nonconformal medium
- Driven Holographic CFTs
- The a-theorem and conformal symmetry breaking in holographic RG flows
- The Quantum Null Energy Condition in Curved Space
- Thermodynamic law from the entanglement entropy bound
- Simple counterterms for asymptotically AdS spacetimes in Lovelock gravity
- Effect of back reaction on entanglement and subregion volume complexity in strongly coupled plasma
- Flavor corrections to the entanglement entropy
- Logarithmic Corrections to the Entanglement Entropy
- State-Dependent Divergences in the Entanglement Entropy
- An Inverse Mass Expansion for Entanglement Entropy in Free Massive Scalar Field Theory
- On the Shape Dependence of Entanglement Entropy
- Dynamics of the Area Law of Entanglement Entropy
- Entanglement entropy and differential entropy for massive flavors
- Holographic RG flows, entanglement entropy and the sum rule
- Comments on universal properties of entanglement entropy and bulk reconstruction
- A coarse-grained generalized second law for holographic conformal field theories
- Logarithmic Corrections to the Entropy of Scalar Field in BTZ Black Hole Space-time
- On Holographic Weyl Anomaly
- Subsystem entropy in 2d CFT and KdV ETH
- Entanglement entropy of singular surfaces under relevant deformations in holography
- Entanglement entropy of spherical domains in anti-de Sitter space
- Holographic entanglement entropy for massive flavours in dS_4
- Renormalized Holographic Subregion Complexity under Relevant Perturbations
- Fermion Fields in BTZ Black Hole Space-Time and Entanglement Entropy
- Inhomogeneous Thermal Quenches
- Domain Walls in Extended Lovelock Gravity
- Non-analyticity in Holographic Complexity near Critical points
- Scalar Field in Massive BTZ Black Hole and Entanglement Entropy
- Geometric Flow Description of Minimal Surfaces
- Entanglement entropy and complexity of singular subregions in deformed CFT
- Inspecting non-perturbative contributions to the Entanglement Entropy via wavefunctions