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In this article, we review recent progresses on the holographic understandings of the entanglement entropy in the AdS/CFT correspondence. After reviewing the general idea of holographic entanglement entropy, we will explain its applications…

High Energy Physics - Theory · Physics 2009-12-08 Tatsuma Nishioka , Shinsei Ryu , Tadashi Takayanagi

In this paper, we discuss the matching of the holographic equation of state with the equation of Hadron Resonance Gas for studying the nuclear matter properties within the framework of relativistic heavy-ion collisions. Machine learning…

Nuclear Theory · Physics 2025-11-03 A. V. Anufriev , V. N. Kovalenko

We present the analytic forms for the spectra of the cosmological perturbations from an initially anisotropic universe for the high momentum modes in the context of WKB approximations, as the continuation of the work [29]. We consider the…

General Relativity and Quantum Cosmology · Physics 2011-03-28 Hyeong-Chan Kim , Masato Minamitsuji

We present a general method to obtain static anisotropic spherically symmetric solutions, satisfying a nonlocal equation of state, from known density profiles. This equation of state describes, at a given point, the components of the…

General Relativity and Quantum Cosmology · Physics 2016-08-15 H. Hernández , L. A. Núñez

Motivated by the understanding of holography as realized in tensor networks, we develop a bulk procedure that can be interpreted as generating a sequence of coarse-grained holographic states. The coarse-graining procedure involves…

High Energy Physics - Theory · Physics 2020-10-07 Chitraang Murdia , Yasunori Nomura , Pratik Rath

We study entanglement entropy for a class of states in quantum field theory that are entangled superpositions of coherent states with well-separated supports, analogous to Einstein-Podolsky-Rosen or Bell states. We calculate the…

High Energy Physics - Theory · Physics 2012-05-28 Curtis T. Asplund

The holographic principle sets an upper bound on the total entropy content of the Universe. Within the limits of a Newtonian approximation, a quantum-mechanical model is presented to describe the cosmological fluid. Under the assumption…

General Relativity and Quantum Cosmology · Physics 2023-07-19 P. Fernandez de Cordoba , J. M. Isidro

It is established that physical observables in local quantum field theories should be invariant under invertible field redefinitions. It is then expected that this statement should be true for the entanglement entropy and moreover that, via…

High Energy Physics - Theory · Physics 2016-08-17 M. R. Mohammadi Mozaffar , A. Mollabashi , M. M. Sheikh-Jabbari , M. H. Vahidinia

The plasma generated in heavy ion collisions goes through different phases in its time evolution. While early times right after the collision are governed by far-from equilibrium dynamics, later times are believed to be well described by…

Nuclear Theory · Physics 2026-01-01 Matthias Kaminski

We use holographic techniques to calculate the first thermal correction to the entanglement entropy of a cap-like region of a CFT defined on a sphere, successfully reproducing the field theory result. Since this is an order-one correction…

High Energy Physics - Theory · Physics 2015-02-27 Stefan Leichenauer

The framework of anisotropic hydrodynamics is used in 3+1 dimensions to analyze behavior of matter produced in ultra-relativistic heavy-ion collisions. The model predictions for the hadronic transverse-momentum spectra, directed and…

Nuclear Theory · Physics 2015-06-05 Wojciech Florkowski , Radoslaw Ryblewski

The symmetry method is used to derive solutions of Einstein's equations for fluid spheres using an isotropic metric and a velocity four vector that is non-comoving. Initially the Lie, classical approach is used to review and provide a…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Ron Wiltshire

We derive the Einstein field equations and black hole entropy from the first law of thermodynamics on a holographic time-like screen. Because of the universality of gravity, the stress tensor on the screen must be independent of the details…

High Energy Physics - Theory · Physics 2012-07-10 Miao Li , Rong-Xin Miao , Jun Meng

In this paper, we holographically quantify the entanglement and complexity for mixed states by following the prescription of purification. The bulk theory we consider in this work is a hyperscaling violating solution, characterized by two…

High Energy Physics - Theory · Physics 2021-04-14 Ashis Saha , Sunandan Gangopadhyay

Holography is expected as one of the promising descriptions of quantum general relativity. We present a model for a cosmological system involving two holographic screens and find that their equilibrium exactly yields a standard…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Yi-Fu Cai , Jie Liu , Hong Li

The concern of this work is the generalization of an Asymptotic Preserving method for the highly anisotropic elliptic equations presented in [P. Degond, A. Lozinski, J. Narski, and C. Negulescu. An asymptotic-preserving method for highly…

Numerical Analysis · Mathematics 2013-02-19 Jacek Narski

This work is devoted to the homogenization of elliptic equations in high-contrast media in the so-called 'double-porosity' resonant regime, for which we solve two open problems of the literature. First, we prove qualitative stochastic…

Analysis of PDEs · Mathematics 2025-04-07 Elise Bonhomme , Mitia Duerinckx , Antoine Gloria

We study holographic entanglement entropy in the background of charged dilatonic black holes which can be viewed as holographic duals of certain finite density states of N=4 super Yang-Mills. These charged black holes are distinguished in…

High Energy Physics - Theory · Physics 2012-10-22 Manuela Kulaxizi , Andrei Parnachev , Koenraad Schalm

We investigate the evolution of holographic entanglement entropy (HEE) and holographic complexity (HC) under a thermal quench in Einstein-Maxwell-Axion theory (EMA), which is dual to a field theory with momentum relaxation on the boundary.…

High Energy Physics - Theory · Physics 2020-06-16 Yu-Ting Zhou , Xiao-Mei Kuang , Yong-Zhuang Li , Jian-Pin Wu

The analytical structure of a static transverse component of polarization tensor in complex momentum plane is numerically studied, which is holographically determined by a Einstein-Maxwell theory in asymptotically $D=3+1$ dimensional…

High Energy Physics - Theory · Physics 2020-06-24 Lei Yin , Jialin Gao
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