# 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…

## 7 Citations

Bulk entanglement entropy in perturbative excited states

- PhysicsSciPost Physics
- 2018

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$_3$

- PhysicsSciPost Physics
- 2020

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

- PhysicsPhysical Review D
- 2019

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

- PhysicsThe 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

- Physics
- 2016

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

- Physics, Computer ScienceJournal of High Energy Physics
- 2021

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

- Physics
- 2018

Spacetime boundaries with canonical Neuman or Dirichlet conditions preserve conformal invarience, but "mixed" boundary conditions which interpolate linearly between them can break conformal symmetry…

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