Entanglement entropy for free scalar fields in AdS

@article{Sugishita2016EntanglementEF,
  title={Entanglement entropy for free scalar fields in AdS},
  author={Sotaro Sugishita},
  journal={Journal of High Energy Physics},
  year={2016},
  volume={2016},
  pages={1-23}
}
A bstractWe compute entanglement entropy for free massive scalar fields in anti-de Sitter (AdS) space. The entangling surface is a minimal surface whose boundary is a sphere at the boundary of AdS. The entropy can be evaluated from the thermal free energy of the fields on a topological black hole by using the replica method. In odd-dimensional AdS, exact expressions of the Rényi entropy Sn are obtained for arbitrary n. We also evaluate 1-loop corrections coming from the scalar fields to… 
View on Springer
link.springer.com
7 Citations
Background Citations
1
Methods Citations
2

Figures from this paper

7 Citations

Citation Type

Citation Type

Bulk entanglement entropy in perturbative excited states
We compute the bulk entanglement entropy across the Ryu-Takayanagi surface for a one-particle state in a scalar field theory in AdS_33. We work directly within the bulk Hilbert space and include the…
Bulk entanglement entropy for photons and gravitons in AdS$_3$
We study quantum corrections to holographic entanglement entropy in AdS_33/CFT_22; these are given by the bulk entanglement entropy across the Ryu-Takayanagi surface for all fields in the effective…
Entanglement entropy of nonlocal theories in AdS spacetimes
We investigate the effect of non-locality on entanglement entropy in anti-de Sitter space-time. We compute entanglement entropy of a nonlocal field theory in anti-de Sitter space-time and find…
Bulk entanglement and its shape dependence
  • Z. Fan
  • Physics
    The European Physical Journal C
  • 2021
We study bulk entanglement entropy in even spacetime dimensions using the heat kernel method, which captures the universal piece of entanglement entropy, a logarithmically divergent term in even…
Entanglement Entropy Evolution under Double‐trace Deformation
In this paper, we study the bulk entanglement entropy evolution in conical BTZ black bole background using the heat kernel method. This is motivated by exploring the new examples where the quantum…
Target space entanglement in quantum mechanics of fermions and matrices
TLDR
It is shown that the upper bounds of the general Rényi entropies are N log 2 for N particles or an N × N matrix, and the target space entanglement entropy and the mutual information in a free one-matrix model are computed.
Effects of non-conformal boundary on entanglement entropy
Spacetime boundaries with canonical Neuman or Dirichlet conditions preserve conformal invarience, but "mixed" boundary conditions which interpolate linearly between them can break conformal symmetry…

References

SHOWING 1-10 OF 56 REFERENCES
Entanglement entropy in de Sitter space
A bstractWe compute the entanglement entropy for some quantum field theories on de Sitter space. We consider a superhorizon size spherical surface that divides the spatial slice into two regions,…
Renormalized entanglement entropy on cylinder
A bstractWe develop a framework of calculating entanglement entropy for non-conformal field theories with the use of the dilaton effective action. To illustrate it, we locate a theory on a cylinder…
Holographic derivation of entanglement entropy from the anti-de Sitter space/conformal field theory correspondence.
TLDR
It is argued that the entanglement entropy in d + 1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS(d+2), analogous to the Bekenstein-Hawking formula for black hole entropy.
Holographic Derivation of Entanglement Entropy from AdS/CFT
A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformal…
Entanglement entropy for the n-sphere
Double‐trace deformations and entanglement entropy in AdS
We compute the bulk entanglement entropy of a massive scalar field in a Poincare AdS with the Dirichlet and Neumann boundary condition when we trace out a half space. Moreover, by taking into account…
Holographic Entanglement Entropy: An Overview
In this paper, we review recent progress on the holographic understanding of the entanglement entropy in the anti-de Sitter space/conformal field theory (AdS/CFT) correspondence. In general, the…
Towards a derivation of holographic entanglement entropy
We provide a derivation of holographic entanglement entropy for spherical entangling surfaces. Our construction relies on conformally mapping the boundary CFT to a hyperbolic geometry and observing…
A Comment on Entropy and Area
Aspects of Holographic Entanglement Entropy
This is an extended version of our short report [1], where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a…
...
1
2
3
4
5
...