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We apply the universal method developed in \cite{Jiang:2025jnk} to compute the entanglement entropy between two tangent balls in CFT$_D$. When taking the radius of one ball to infinity, it gives the entanglement entropy between a ball and…

高能物理 - 理论 · 物理学 2025-12-09 Jiankun Li , Li Song

We continue the study of entanglement entropy for a QFT through a perturbative expansion of the path integral definition of the reduced density matrix. The universal entanglement entropy for a CFT perturbed by a relevant operator is…

高能物理 - 理论 · 物理学 2015-06-23 Vladimir Rosenhaus , Michael Smolkin

We consider the relative entropy between vacuum states of two different theories: a conformal field theory (CFT), and the CFT perturbed by a relevant operator. By restricting both states to the null Cauchy surface in the causal domain of a…

高能物理 - 理论 · 物理学 2017-04-05 Horacio Casini , Eduardo Teste , Gonzalo Torroba

We use the holographic method to investigate an RG flow and IR physics of a two-dimensional conformal field theory (CFT) deformed by a relevant scalar operator. On the dual gravity side, a renormalization group (RG) flow from a UV to IR CFT…

高能物理 - 理论 · 物理学 2024-12-11 Chanyong Park , Jung Hun Lee

We provide a field-theoretic method to calculate entanglement entropy of CFT in all dimensions. This method works for entangling surfaces of arbitrary shape. The formalism manifests a field-theoretic proof of the Ryu-Takayanagi formula.

高能物理 - 理论 · 物理学 2026-01-06 Xin Jiang , Haitang Yang

For a given entanglement entropy of QFT, we investigate how to reconstruct its dual geometry by applying the Ryu-Takayanagi formula and the deep learning method. In the holographic setup, the radial direction of the dual geometry is…

高能物理 - 理论 · 物理学 2022-12-07 Chanyong Park , Chi-Ok Hwang , Kyungchan Cho , Se-Jin Kim

We compute the holographic entanglement entropy of a thermalized CFT on a time-dependent background in four dimensions. We consider a slab configuration extending beyond the cosmological horizon of a Friedmann-Lemaitre-Robertson-Walker…

高能物理 - 理论 · 物理学 2022-07-27 Vangelis Giantsos , Nikolaos Tetradis

This paper investigates the entanglement entropy inequality and explores the presentation of mutual information and conditional mutual information in kinematic space. Specifically, we examine the regions within kinematic space responsible…

高能物理 - 理论 · 物理学 2023-05-26 An Gong , Chong-Bin Chen , Fu-Wen Shu

We explicitly reconstruct the metric of a gravity dual to field theories using known entanglement entropies using the Ryu-Takayanagi formula. We use for examples CFT's in $d = 1$, 2 and 3 as well as CFT on a circle of length $L$ and a…

高能物理 - 理论 · 物理学 2013-11-21 Michael Spillane

We compare the capacity of entanglement with the entanglement entropy by considering various aspects of these quantities for free bosonic and fermionic models in one spatial dimension, both in the continuum and on the lattice. Substantial…

统计力学 · 物理学 2023-04-20 Raúl Arias , Giuseppe Di Giulio , Esko Keski-Vakkuri , Erik Tonni

In this note a new method for computing the entanglement entropy of a CFT holographically is explored. It consists of finding a bulk background with a boundary metric that has the conical singularities needed to compute the entanglement…

高能物理 - 理论 · 物理学 2008-12-25 Georgios Michalogiorgakis

The Ryu-Takayanagi conjecture establishes a remarkable connection between quantum systems and geometry. Specifically, it relates the entanglement entropy to minimal surfaces within the setting of AdS/CFT correspondence. This Letter shows…

强关联电子 · 物理学 2017-03-14 Stefan Kehrein

We use holography in order to study the entanglement entropy for a spherical entangling surface in a FRW background with an arbitrary time dependence of the scale factor. The calculation is done in various dimensions, allowing for nonzero…

高能物理 - 理论 · 物理学 2021-07-07 D. Giataganas , N. Tetradis

A general geometrical structure of the entanglement entropy for spatial partition of a relativistic QFT system is established by using methods of the effective gravity action and the spectral geometry. A special attention is payed to the…

高能物理 - 理论 · 物理学 2008-11-26 Dmitri V. Fursaev

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

In this paper we discuss behaviors of entanglement entropy between two interacting CFTs and its holographic interpretation using the AdS/CFT correspondence. We explicitly perform analytical calculations of entanglement entropy between two…

高能物理 - 理论 · 物理学 2015-06-19 Ali Mollabashi , Noburo Shiba , Tadashi Takayanagi

In this paper, we discuss the entanglement phase transition of pseudo entropy in CFTs. We focus on the case where the in-state and the out-state are different boundary states related by boundary condition changing operators. We compute the…

高能物理 - 理论 · 物理学 2026-03-13 Hiroki Kanda , Tadashi Takayanagi , Zixia Wei

We consider the universal part of entanglement entropy across a plane in flat space for a QFT, giving a non-perturbative expression in terms of a spectral function. We study the change in entanglement entropy under a deformation by a…

高能物理 - 理论 · 物理学 2015-06-22 Vladimir Rosenhaus , Michael Smolkin

We calculate quantum corrections to holographic entanglement entropy in the proposed duality between $T\bar{T}$-deformed holographic 2D CFTs and gravity in AdS$_{3}$ with a finite cutoff. We first establish the dictionary between the two…

高能物理 - 理论 · 物理学 2020-05-20 William Donnelly , Elise LePage , Yan-Yan Li , Andre Pereira , Vasudev Shyam

The {\it finiteness} of the entanglement entropies between disjoint subsystems enables us to show that, the dynamical equation of the entanglement entropy in CFT$_2$ is precisely three dimensional Einstein's equation. We establish a…

高能物理 - 理论 · 物理学 2025-11-04 Xin Jiang , Peng Wang , Houwen Wu , Haitang Yang
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