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We calculate numerically the logarithmic contribution to the entanglement entropy of a cylindrical region in three spatial dimensions for both, free scalar and Dirac fields. The coefficient is universal and proportional to the type $c$…

高能物理 - 理论 · 物理学 2012-05-07 Marina Huerta

Entanglement entropy plays a variety of roles in quantum field theory, including the connections between quantum states and gravitation through the holographic principle. This article provides a review of entanglement entropy from a mixed…

高能物理 - 理论 · 物理学 2019-12-30 Tatsuma Nishioka

The Entanglement contour function quantifies the contribution from each degree of freedom in a region $\mathcal{A}$ to the entanglement entropy $S_{\mathcal{A}}$. Recently in \cite{Wen:2018whg} the author gave two proposals for the…

高能物理 - 理论 · 物理学 2020-05-20 Qiang Wen

Recently, a holographic computation of the entanglement entropy in conformal field theories has been proposed via the AdS/CFT correspondence. One of the most important properties of the entanglement entropy is known as the strong…

高能物理 - 理论 · 物理学 2010-02-03 Tomoyoshi Hirata , Tadashi Takayanagi

In Conformal Field Theories with a gravitational AdS dual it is possible to calculate the entanglement entropy of a region $A$ holographically by using the Ryu-Takayanagi formula. In this work we consider systems that are in a pure state…

高能物理 - 理论 · 物理学 2015-07-06 Stefano Giusto , Rodolfo Russo

We present a deterministic way of finding contraction maps for candidate holographic entanglement entropy inequalities modulo choices due to actual degeneracy. We characterize its complexity and give an argument for the completeness of the…

高能物理 - 理论 · 物理学 2024-08-09 Ning Bao , Joydeep Naskar

We calculate the trace (conformal) anomaly for chiral fermions in a general curved background using Hadamard subtraction. While in intermediate steps of the calculation imaginary terms proportional to the Pontryagin density appear, imposing…

高能物理 - 理论 · 物理学 2021-09-28 Markus B. Fröb , Jochen Zahn

In this paper we calculate the entanglement entropy of two coupled gapless systems in general spatial dimension d. The gapless systems can be either conformal field theories (CFT), or Fermi liquids. We assume the two systems are coupled…

强关联电子 · 物理学 2015-05-27 Cenke Xu

We propose a new holographic dual of conformal field theory defined on a manifold with boundaries, i.e. BCFT. Our proposal can apply to general boundaries and agrees with arXiv:1105.5165 for the special case of a disk and half plane. Using…

高能物理 - 理论 · 物理学 2017-08-16 Rong-Xin Miao , Chong-Sun Chu , Wu-Zhong Guo

In this note, we use entanglement entropy as a tool to explore the universal properties of CFTs dual to extremal BTZ black holes. We demonstrate that the entanglement entropies computed in the CFTs at the boundary of the extremal BTZ and…

高能物理 - 理论 · 物理学 2014-02-26 Pawel Caputa , Vishnu Jejjala , Hesam Soltanpanahi

Using the AdS/CFT correspondence we calculate the explicit form of the entanglement entropy for the charged BTZ black hole. The leading term in the large temperature expansion of the entropy function for this black hole reproduces its…

广义相对论与量子宇宙学 · 物理学 2011-09-02 Alexis Larranaga

By using Araki's relative entropy, Lieb's convexity and the theory of singular integrals, we compute the mutual information associated with free fermions, and we deduce many results about entropies for chiral CFT's which are embedded into…

算子代数 · 数学 2017-12-21 Roberto Longo , Feng Xu

We consider the entanglement entropy for a free $U(1)$ theory in $3 + 1$ dimensions in the extended Hilbert space definition. By taking the continuum limit carefully we obtain a replica trick path integral which calculates this entanglement…

高能物理 - 理论 · 物理学 2017-02-23 Ronak M Soni , Sandip P. Trivedi

We confirm the direct connection between entanglement entropy and the notion of irreversibility in the renormalization-group flow in the context of a simple theory for which a calculation from first principles is feasible. The change of the…

高能物理 - 理论 · 物理学 2025-09-04 Konstantinos Boutivas , Dimitrios Katsinis , Georgios Pastras , Nikolaos Tetradis

This paper studies the holographic description of $2+1-$dimensional accelerating black holes. We start by using an ADM decomposition of the coordinates suitable to identify boundary data. As a consequence, the holographic CFT lies in a…

高能物理 - 理论 · 物理学 2023-09-12 Gabriel Arenas-Henriquez , Adolfo Cisterna , Felipe Diaz , Ruth Gregory

We consider entanglement entropy between two halves of space separated by a plane, in the theory of free photon in 3+1 dimensions. We show how to separate local gauge invariant quantities that belong to the two spatial regions. We calculate…

高能物理 - 理论 · 物理学 2020-08-05 Candost Akkaya , Alex Kovner

In this paper we study the entanglement entropy in the CFT$_2$, whose gravity dual is AdS$_3$ spacetime with a Chern-Simons term. Using the generalized Rindler method, we obtain the Rindler transformation in the two-dimensional planar CFT…

高能物理 - 理论 · 物理学 2023-11-23 Peng-Zhang He , Hai-Qing Zhang

In this paper, we derive the universal (cut-off-independent) part of the holographic entanglement entropy in the noncommutative Yang-Mills theory and examine its properties in detail. The behavior of the holographic entanglement entropy as…

高能物理 - 理论 · 物理学 2021-04-14 Tadahito Nakajima

We use the Kerr/CFT correspondence to calculate the entropy for all known extremal stationary and axisymmetric black holes. This is done with the help of two ansatzs that are general enough to cover all such known solutions. Considering…

高能物理 - 理论 · 物理学 2010-04-30 Jianwei Mei

We compute a holographic entanglement entropy via Ryu--Takayanagi prescription in the three-dimensional Friedmann--Lema\^itre--Robertson--Walker universe. We consider two types of holographic scenarios analogous to the static patch…

高能物理 - 理论 · 物理学 2025-08-21 Toshifumi Noumi , Fumiya Sano , Yu-ki Suzuki