Related references
Note: Only part of the references are listed.
Article
Physics, Particles & Fields
Yi Ling et al.
Summary: This paper studies the reflected entropy in holographic setup and introduces the concept of quantum entanglement wedge cross-section. The reflected entropy is numerically computed in AdS background and black hole background.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Juan F. Pedraza et al.
Summary: Holographic entanglement entropy has recently been reformulated as Lorentzian flows. By studying the nesting of Lorentzian flows, we have explored several properties of holographic complexity, including the lower bound of complexity rate and the optimization process of complexity. We have provided explicit geometric realizations of Lorentzian flows in AdS backgrounds and discussed their behavior near the singularity in a black hole interior. We have also proposed a refined notion of complexity and explained the significance of Lorentzian threads.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Hao Geng et al.
Summary: This paper investigates the potential problems of islands in standard theories of massless gravity. Islands are entanglement wedges disconnected from the asymptotic region, and in some known examples, the tension with the gravitational law is resolved by the presence of massive gravitons. Additionally, the authors derive some consistency conditions that islands in decoupled systems must satisfy.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Song He et al.
Summary: In this study, the quantum extremal surface (QES) associated with Hawking radiation for general D-dimensional eternal black holes was systematically calculated using the island formula. It was found that a QES exists in the near-horizon region outside the black hole under certain conditions, and that the late-time radiation entropy saturates twice the black hole entropy. The numerical analysis revealed that there is an upper bound for the no island configuration in two-dimensional generalized dilaton theories when the product of the central charge and Newton constant exceeds a certain value.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Farzad Omidi
Summary: In this paper, the von Neumann entropy of Hawking radiation in a Hyperscaling Violating (HV) black brane coupled to two Minkowski spacetimes is studied. The matter fields are described by either a large central charge CFTd+2 or a holographic gravitational theory with HV geometry at zero temperature. The Page curve and Page time of the Hawking radiation are calculated for both cases. The results show different growth patterns and proportional relationships with various parameters.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Geoff Penington et al.
Summary: Recent work has shown how to obtain the Page curve of an evaporating black hole through holographic computations of entanglement entropy. The validity of these computations is justified using the replica trick and geometries with a spacetime wormhole connecting the different replicas. The Page transition is studied in detail in a simple model by summing replica geometries with different topologies. Related quantities are computed in less detail in more complicated models like JT gravity coupled to conformal matter and the SYK model. Additionally, a direct gravitational argument for entanglement wedge reconstruction is given using the explicit formula known as the Petz map, where the spacetime wormhole plays a significant role. The interpretation of the wormhole geometries as part of some ensemble average implicit in the gravity description is also discussed.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Dmitry S. Ageev
Summary: In this paper, the authors investigate the fine structure of entanglement in holographic two-dimensional boundary conformal field theories (BCFT) using the spatially resolved quasilocal extension of entanglement entropy - entanglement contour. They discover that the boundary induces discontinuities in the contour, unveiling hidden localization-delocalization patterns of the entanglement degrees of freedom. Additionally, they observe the formation of islands where the entanglement contour vanishes completely, suggesting that these regions do not contribute to the entanglement. This phenomenon is believed to be the manifestation of entanglement islands discussed in recent literature. The authors also apply the entanglement contour proposal to BCFT black hole models, reproducing the classic Page curve. The Page curve is found to carry the signature of strong delocalization caused by dynamical entanglement islands.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Hao Geng et al.
Summary: In this study, we compute holographic entanglement entropy for subregions of a BCFT thermal state living on a nongravitating black hole background. We find that entanglement islands do not exist when the brane lies below a critical angle at zero temperature, but they do exist at finite temperature in the context of a black string, restricted to a finite connected region on the brane called the atoll. The behavior of entanglement entropy depends on two parameters - the size of the subregion and the brane angle.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Cesar A. Agon et al.
Summary: In this paper, a novel method for interpreting quantum corrections to holographic entanglement entropy is proposed, which utilizes the concept of generalized flow and can handle sources or sinks in the bulk geometry. Furthermore, the quantum corrections are described in terms of information theory using a set of quantum bit threads. The proposed method is shown to satisfy known von Neumann entropy inequalities and has applications in investigating the holographic monogamy.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Hugo A. Camargo et al.
Summary: This paper investigates the relationship between balanced partial entanglement and entanglement wedge cross-section, as well as their applications in holography, finding that balanced crossing correlations may vanish in certain cases, indicating the possibility of a perfect Markov recovery.
Article
Physics, Multidisciplinary
Andrew Rolph
Summary: In this article, we study the entanglement structure and dynamics in CFTs and black holes, employing a local entanglement measure known as the entanglement contour. We calculate the entanglement contour for different systems, including 1+1-dimensional condensed matter systems and simplified models of black hole evaporation. Our findings reveal universal results for the entanglement contours in low energy non-equilibrium states of 2D CFTs and illustrate the presence of an island phase transition in the entanglement contour of a non-gravitational bath coupled to an extremal AdS(2) black hole.
Article
Physics, Particles & Fields
Kenta Suzuki et al.
Summary: In this paper, we investigate the equivalence between a boundary conformal field theory (BCFT) and a gravitational system by studying its duality relation in a two-dimensional setup. By examining the computation of entanglement entropy and energy flux conservation, we identify the dual two-dimensional gravity to the boundary dynamics of a BCFT. Furthermore, we demonstrate that one point functions can be correctly reproduced in the AdS/BCFT by considering a gravity solution with scalar fields turned on.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Elena Caceres et al.
Summary: In this study, we investigate the black hole information problem in a semiclassical gravitating AdSd black hole coupled to a d-dimensional thermal conformal bath. By deforming the bath state through a relevant scalar deformation, a holographic RG flow is triggered, causing the trans-IR region to transition from a Schwarzschild geometry to a Kasner universe. The setup exhibits two independent scales that control the extent of coarse-graining and the entanglement dynamics when counting Hawking degrees of freedom in the bath. Tuning either scale results in nontrivial changes to the Page time and Page curve.
SCIPOST PHYSICS CORE
(2022)
Article
Physics, Multidisciplinary
Muxin Han et al.
Summary: In this study, we investigate the entanglement contour and partial entanglement entropy in quantum field theories in 3 and higher dimensions. The entanglement entropy is evaluated using a geometric regulator from a certain limit of the partial entanglement entropy. We classify the geometric regulators in the context of the entanglement contour and compare them with UV regulators. Additionally, we clarify the relationship between UV and geometric cutoffs for spherical regions in conformal field theories and address a subtle point in the additive linear combination proposal for partial entanglement entropy in higher dimensions.
SCIPOST PHYSICS CORE
(2022)
Article
Astronomy & Astrophysics
Aranya Bhattacharya et al.
Summary: In this study, we consider a doubly holographic model and investigate the evolution of holographic subregion complexity associated with deformations of the bath state. We find that the subregion complexity exhibits a discontinuous jump at Page time for a fixed perturbation, with the magnitude of the jump depending solely on the system's parameters.
Article
Astronomy & Astrophysics
Ibrahim Akal et al.
Summary: This paper extensively studies moving mirrors in conformal field theories using field theoretic and holographic methods, focusing on escaping, kink, and double escaping mirror models. The holographic entanglement entropy calculations show the ideal Page curve in the kink mirror model and an interesting phase transition in the double escaping mirror model. Discussions also include the interpretation of moving mirrors in terms of two dimensional Liouville gravity and the connection between quantum energy conditions and the time evolution of holographic entanglement entropy.
CLASSICAL AND QUANTUM GRAVITY
(2021)
Article
Physics, Multidisciplinary
Juan F. Pedraza et al.
Summary: The passage discusses the reformulation of the complexity = volume conjecture using the continuous min flow-max cut principle and the nesting property, as well as the concept of optimizing with Lorentzian flows. It also introduces the concept of bounding the rate of complexity and capturing the role of suboptimal tensor networks.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Particles & Fields
Yiming Chen et al.
Summary: This text discusses two-dimensional CFT states produced by gravitational path integrals, focusing on cases of Euclidean AdS(2) evolution and Lorentzian dS(2) evolution followed by flat space evolution. It is found that naive hyperbolic space geometry leads to paradoxes, which can be resolved by incorporating bra-ket wormholes. Despite issues with divergent temperatures, projection onto low energy states reveals similarities with the previous Euclidean case, suggesting a connection between maximum entropy and de Sitter entropy.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Juan Hernandez et al.
Summary: In this study, holographic complexity in the doubly holographic model was examined to focus on the holographic complexity=volume (CV) proposal for boundary subregions in the island phase. By deriving the leading contributions to the complexity and interpreting them in terms of the generalized volume of the island, a generalization of the CV proposal for higher curvature theories of gravity was proposed. Consistency checks were provided by investigating Gauss-Bonnet gravity and f(Script capital R) gravity in the bulk.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Vijay Balasubramanian et al.
Summary: We study black holes in 2D de Sitter JT gravity coupled to a CFT, entangled with matter in a non-gravitating universe. The entropy of the entangled matter increases indefinitely with entanglement strength, but must level off due to monogamy. The competition between field theory entanglement entropy and extremal islands in the de Sitter geometry plays a key role in stabilizing the entropy growth.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Hong Liu et al.
Summary: This study demonstrates that the Page curve can be explained by a simple dynamical input in the evolution of black holes, based on a recently proposed signature of quantum chaos, without relying on typicality. The operator gas approach is introduced to understand the evolution of the black hole's microstate. Void formation processes, where operators in the gas can jump outside the black hole, play a crucial role in leading to the Page curve.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Aranya Bhattacharya et al.
Summary: The holographic subregion complexity of a radiation subsystem in a geometric secret-sharing model of Hawking radiation is calculated, revealing a crossover between two minimal curves and a jump in complexity at the secret-sharing time larger than the Page time. Despite accessing only a small part of the radiation, the minimal surfaces do not have access to the entire island region in this particular case. This inaccessibility is described in the context of classical Markov recovery.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Yi-Yu Lin et al.
Summary: In this study, the partial entanglement entropy is explicitly interpreted as component flow flux in a locking bit thread configuration within the holographic framework. By applying the locking theorem of bit threads, a set of uniquely determined component flow fluxes is obtained, and the PEE proposal and its generalized version in multipartite cases are successfully derived. Furthermore, a coherent explanation is presented for the coincidence between the BPE/EWCS duality and the EoP/EWCS duality, based on the perspective of bit threads.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Cesar A. Agon et al.
Summary: An effective membrane theory has been proposed to describe the hydrodynamic regime of entanglement dynamics for chaotic systems. By reformulating the membrane theory as a max flow problem, a max flow-min cut theorem is proved. In the context of holography, the relation between the max flow program dual to the membrane theory and the program dual to the holographic surface extremization prescription is explained, providing an explicit map from the membrane to the bulk.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
James Sully et al.
Summary: This paper reproduces holographic results through direct (B)CFT calculations. Using the replica method, the entropies are related to correlation functions of twist operators in a Euclidean BCFT. These transitions between channels lead to the holographically observed phase transitions in entropies.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Yi Ling et al.
Summary: The study investigates the information paradox of eternal black holes with charges in a doubly-holographic model, involving calculating entanglement entropy and proposing two strategies to address the paradox. The research aims to properly describe the black hole information paradox using enough degrees of freedom on the brane in the doubly-holographic setup.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Qiang Wen
Summary: In this article, we introduce a new information theoretical quantity called balanced partial entanglement (BPE) for any bipartite mixed state. We discuss its relation with purifications and find that in holographic CFT2, BPE equals the area of the entanglement wedge cross section divided by 4G.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Hao Geng et al.
Summary: The late-time dominance of entanglement islands is crucial in addressing the information paradox for AdS black holes coupled to a non-gravitational bath. When considering entanglement between different sectors, non-trivial time-dependence is observed. However, discontinuous changes in entropy properties occur with variations in the angle.
Article
Physics, Particles & Fields
Hao Geng et al.
Summary: The study explores the AdS/BCFT duality between two-dimensional conformal field theories and three-dimensional anti-de Sitter space with KarchRandall branes, focusing on entanglement entropy and communication between braneworld black holes. A consistent Page curve is found, with gravitational results matching field theory calculations. At zero temperature, an interesting extension to the AdS3/BCFT2 correspondence is uncovered, revealing different gravitational duals based on the value of Delta bcc.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Elena Caceres et al.
Summary: The study on Hawking radiation emitted by the eternal BTZ black hole in equilibrium with a thermal bath, using the notion of double holography, reveals significant differences compared to AdS/CFT work, including a decrease in late-time entropy, existence of island degrees of freedom at all times, and emergence of a field-theoretic IR divergence under certain conditions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Materials Science, Multidisciplinary
Ian MacCormack et al.
Summary: In this study, the growth and spreading of operators and entanglement in the many-body localized (MBL) phase and the random singlet phase (RSP) were characterized using the entanglement contour and multipartite operator entanglement measures. Slow scrambling behavior was found in the MBL phase, while the RSP phase showed nonscrambling behavior as a noninteracting model.
Article
Physics, Particles & Fields
Jinwei Chu et al.
Summary: The study defines defect extremal surface by minimizing the Ryu-Takayanagi surface corrected by the quantum theory localized on the defect, and extends the results to higher dimensions. It is found that the entropy computed from bulk defect extremal surface is generally less than that from island formula in boundary low energy effective theory, suggesting a smaller entropy from the UV completion of island formula.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Yi-Yu Lin et al.
Summary: Researchers investigate the relations between bit thread, entanglement distillation, and entanglement of purification in the holographic framework. They propose a new interpretation for one-shot entanglement distillation and holographic entanglement of purification processes, suggesting that this interpretation may more accurately reflect the real physical entanglement structures.
Article
Astronomy & Astrophysics
Hao Geng et al.
Summary: The study formulates a version of the information paradox in de Sitter spacetime, which is resolved by the emergence of entanglement islands as shown in the De Sitter/de Sitter correspondence, leading to a time-dependent Page curve for the entanglement entropy. It suggests that the distribution of microscopic degrees of freedom depends on descriptions, with differences between the static and global descriptions of de Sitter spacetime.
Article
Physics, Particles & Fields
Aranya Bhattacharya et al.
Summary: The study focuses on entanglement islands and subsystem volume complexity of a conformal defect in d-dimensions within the Randall-Sundrum (RS) braneworld model. The left and right modes of the defect mimic an eternal black hole and radiation system, leading to a unitarity-compatible Page curve for the entanglement entropy. The volumes corresponding to the left and right branes show an interesting jump at Page time, indicating a complexity phase transition.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Cesar A. Agon et al.
Summary: In the context of holography, entanglement entropy can be studied using extremal surfaces or bit threads, a divergenceless vector field approach. This paper develops a new method for metric reconstruction based on the latter, showing advantages over existing methods. It is demonstrated that perturbed thread configurations can encode metric information in a highly nonlocal way, but a canonical choice for perturbations can be made for boundary regions with a local modular Hamiltonian. The Iyer-Wald formalism provides a natural candidate for a canonical local perturbation, facilitating the inversion of a linear differential operator for metric reconstruction.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Vijay Balasubramanian et al.
Summary: The study discusses a black hole entangled with an auxiliary radiation system in three-dimensional AdS space and proposes a realization of the ER=EPR scenario by combining with external radiation. By extending the Ryu-Takayanagi formula, it is found that the Page curve for evaporating black holes can be reproduced. Further research suggests limitations in reconstructing certain regions in the interior of Hawking radiation using subsystems at different stages.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Mathematical
Shawn X. Cui et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2020)
Article
Physics, Particles & Fields
Ahmed Almheiri et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Ahmed Almheiri et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Moshe Rozali et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Fridrik Freyr Gautason et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Qiang Wen
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Nuclear
Chong-Bin Chen et al.
Article
Physics, Particles & Fields
Dong-Hui Du et al.
EUROPEAN PHYSICAL JOURNAL C
(2020)
Article
Physics, Particles & Fields
Takanori Anegawa et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Thomas Hartman et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Koji Hashimoto et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Chris Akers et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Multidisciplinary
Jonah Kudler-Flam et al.
Article
Physics, Multidisciplinary
Ahmed Almheiri et al.
Article
Physics, Particles & Fields
Timothy J. Hollowood et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Hao Geng et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Geoffrey Penington
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Yi-Yu Lin et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Hong Zhe Chen et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Multidisciplinary
Qiang Wen
PHYSICAL REVIEW RESEARCH
(2020)
Article
Physics, Particles & Fields
Tianyi Li et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Thomas Hartman et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Hong Zhe Chen et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Astronomy & Astrophysics
Raphael Bousso et al.
Article
Physics, Particles & Fields
Qiang Wen
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Multidisciplinary
Jonah Kudler-Flam et al.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2019)
Article
Physics, Particles & Fields
Cesar A. Agon et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Jonathan Harper et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Dong-Hui Du et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Ning Bao et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Mechanics
Giuseppe Di Giulio et al.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2019)
Article
Physics, Particles & Fields
Ahmed Almheiri et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Astronomy & Astrophysics
Matthew Headrick et al.
CLASSICAL AND QUANTUM GRAVITY
(2018)
Article
Mechanics
Erik Tonni et al.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2018)
Article
Physics, Particles & Fields
Jonathan Harper et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Particles & Fields
Veronika E. Hubeny
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Astronomy & Astrophysics
Qiang Wen
Article
Physics, Mathematical
Michael Freedman et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2017)
Article
Physics, Multidisciplinary
Andrea Coser et al.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2017)
Article
Physics, Particles & Fields
I. Bakhmatov et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2017)
Article
Physics, Particles & Fields
Xi Dong et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2016)
Article
Physics, Particles & Fields
Netta Engelhardt et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2015)
Article
Astronomy & Astrophysics
Eugenio Bianchi et al.
CLASSICAL AND QUANTUM GRAVITY
(2014)
Article
Mechanics
Yangang Chen et al.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2014)
Article
Astronomy & Astrophysics
Don N. Page
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
(2013)
Article
Physics, Particles & Fields
Thomas Faulkner et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2013)
Article
Physics, Particles & Fields
Robert C. Myers et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2013)
Article
Physics, Multidisciplinary
Tadashi Takayanagi
PHYSICAL REVIEW LETTERS
(2011)
Article
Physics, Particles & Fields
Mitsutoshi Fujita et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2011)
Article
Physics, Particles & Fields
Veronika E. Hubeny et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2007)
Article
Astronomy & Astrophysics
Yukinori Iwashita et al.
Article
Physics, Particles & Fields
Shinsei Ryu et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2006)
Article
Physics, Multidisciplinary
Shinsei Ryu et al.
PHYSICAL REVIEW LETTERS
(2006)
Article
Physics, Particles & Fields
A Karch et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2001)
