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In this work, we explore the holographic entanglement entropy with an infinite strip region of the boundary in Horndeski gravity. In our prescription we consider the spherically and planar topologies black holes in the AdS$_{4}$/CFT$_{3}$…

High Energy Physics - Theory · Physics 2022-02-23 F. F. Santos

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…

High Energy Physics - Theory · Physics 2020-08-05 Candost Akkaya , Alex Kovner

We consider the situation when a globally defined four-dimensional field system is separated on two entangled sub-systems by a dynamical (random) two-dimensional surface. The reduced density matrix averaged over ensemble of random surfaces…

High Energy Physics - Theory · Physics 2015-06-03 Sergey N. Solodukhin

The thermodynamics of supersymmetric Yang-Mills theories is studied by computing the two-loop correction to the canonical free energy and to the equation of state for theories with 16, 8 and 4 supercharges in any dimension $4\leq d\leq 10$,…

High Energy Physics - Theory · Physics 2016-08-25 M. A. Vazquez-Mozo

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

High Energy Physics - Theory · Physics 2021-01-13 Andrew Loveridge

We study the evolution of entanglement entropy in a 2-dimensional equilibration process that has a holographic description in terms of a Vaidya geometry. It models a unitary evolution in which the field theory starts in a pure state, its…

High Energy Physics - Theory · Physics 2010-12-06 Javier Abajo-Arrastia , Joao Aparicio , Esperanza Lopez

We consider the formulation of entropic gravity in two spacetime dimensions. The usual gravitational force law is derived even in the absence of area, as normally required by the holographic principle. A special feature of this perspective…

High Energy Physics - Theory · Physics 2011-08-31 R. B. Mann , J. R. Mureika

We compute change in entanglement entropy for a single interval in $1+1$ dimensional sine-Gordon model perturbatively in the coupling. The sine-Gordon perturbation can be thought of as deformation of the free CFT by a primary operator with…

High Energy Physics - Theory · Physics 2017-12-29 Pinaki Banerjee , Atanu Bhatta , B. Sathiapalan

We examine a possibility that, when a black hole is formed, the information on the collapsed star is stored as the entanglement entropy between the outside and the thin region (of the order of the Planck length) of the inside the horizon.…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hiroaki Terashima

We propose a thermodynamically motivated measure of gravitational entropy based on the Bel-Robinson tensor, which has a natural interpretation as the effective super-energy-momentum tensor of free gravitational fields. The specific form of…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Timothy Clifton , George F R Ellis , Reza Tavakol

We review the results of refs. [1,2], in which the entanglement entropy in spaces with horizons, such as Rindler or de Sitter space, is computed using holography. This is achieved through an appropriate slicing of anti-de Sitter space and…

High Energy Physics - Theory · Physics 2021-08-18 Nikolaos Tetradis

In this article, we investigate the quantum circuit complexity and entanglement entropy in the recently studied black hole gas framework using the two-mode squeezed states formalism written in arbitrary dimensional spatially flat…

High Energy Physics - Theory · Physics 2021-09-03 Kiran Adhikari , Sayantan Choudhury , Satyaki Chowdhury , K. Shirish , Abinash Swain

We consider the problem of defining localized subsystems in gauge theory and gravity. Such systems are associated to spacelike hypersurfaces with boundaries and provide the natural setting for studying entanglement entropy of regions of…

High Energy Physics - Theory · Physics 2016-11-29 William Donnelly , Laurent Freidel

We study holographic entanglement entropy for certain logarithmic conformal field theories by making use of their gravity descriptions. The corresponding gravity descriptions are provided by higher derivative gravity at critical points…

High Energy Physics - Theory · Physics 2014-05-14 Mohsen Alishahiha , Amin Faraji Astaneh , M. Reza Mohammadi Mozaffar

In this paper we have studied the effect of deformation and temperature on holographic entanglement entropy and mutual information between two subsystems in a deformed field theory at finite temperature. The $T{\overline{T}}$ deformation…

High Energy Physics - Theory · Physics 2023-04-25 Hajar Ebrahim , Monireh Ahmadpour

We study the entanglement entropy, the R\'enyi entropy, and the mutual (R\'enyi) information of Dirac fermions on a 2 dimensional torus in the presence of constant gauge fields. We derive their general formulas using the equivalence between…

High Energy Physics - Theory · Physics 2018-08-31 Bom Soo Kim

The entanglement entropy (EE) can measure the entanglement between a spatial subregion and its complement, which provides key information about quantum states. Here, rather than focusing on specific regions, we study how the entanglement…

Strongly Correlated Electrons · Physics 2019-02-21 William Witczak-Krempa

Geometric measure of entanglement and geometric phase have recently been used to analyze quantum phase transition in the XY spin chain. We unify these two approaches by showing that the geometric entanglement and the geometric phase are…

Quantum Physics · Physics 2013-07-16 Vahid Azimi Mousolou , Carlo M. Canali , Erik Sjöqvist

We use gauge-gravity duality to compute entanglement entropy in a non-conformal background with an energy scale $\Lambda$. At zero temperature, we observe that entanglement entropy decreases by raising $\Lambda$. However, at finite…

High Energy Physics - Theory · Physics 2017-08-02 M. Rahimi , M. Ali-Akbari , M. Lezgi

We study the fluctuation entropy for two-dimensional matter systems with an internal symmetry coupled to Jackiw--Teitelboim(JT) gravity joined to a Minkowski region. The fluctuation entropy is the Shannon entropy associated to probabilities…

High Energy Physics - Theory · Physics 2023-06-28 Alexey Milekhin , Amirhossein Tajdini