Academic literature on the topic 'Entanglement entropy, gauge theory, conformal field theory, gravity'

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Journal articles on the topic "Entanglement entropy, gauge theory, conformal field theory, gravity"

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BHATTACHARYYA, ARPAN, and ANINDA SINHA. "ENTANGLEMENT ENTROPY FROM SURFACE TERMS IN GENERAL RELATIVITY." International Journal of Modern Physics D 22, no. 12 (2013): 1342020. http://dx.doi.org/10.1142/s0218271813420200.

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Entanglement entropy in local quantum field theories is typically ultraviolet divergent due to short distance effects in the neighborhood of the entangling region. In the context of gauge/gravity duality, we show that surface terms in general relativity are able to capture this entanglement entropy. In particular, we demonstrate that for 1 + 1-dimensional (1 + 1d) conformal field theories (CFTs) at finite temperature whose gravity dual is Banados–Teitelboim–Zanelli (BTZ) black hole, the Gibbons–Hawking–York term precisely reproduces the entanglement entropy which can be computed independently
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Jang, Dongmin, Yoonbai Kim, O.-Kab Kwon, and D. D. Tolla. "Exact Holography of Massive M2-brane Theories and Entanglement Entropy." EPJ Web of Conferences 168 (2018): 07002. http://dx.doi.org/10.1051/epjconf/201816807002.

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We test the gauge/gravity duality between the N = 6 mass-deformed ABJM theory with Uk(N) × U-k(N) gauge symmetry and the 11-dimensional supergravity on LLM geometries with SO(4)=ℤk × SO(4)=ℤk isometry. Our analysis is based on the evaluation of vacuum expectation values of chiral primary operators from the supersymmetric vacua of mass-deformed ABJM theory and from the implementation of Kaluza-Klein (KK) holography to the LLM geometries. We focus on the chiral primary operator (CPO) with conformal dimension Δ = 1. The non-vanishing vacuum expectation value (vev) implies the breaking of conforma
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Park, Chanyong. "Holographic Aspects of a Relativistic Nonconformal Theory." Advances in High Energy Physics 2013 (2013): 1–16. http://dx.doi.org/10.1155/2013/389541.

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We study a generalD-dimensional Schwarzschild-type black brane solution of the Einstein-dilaton theory and derive, by using the holographic renormalization, its thermodynamics consistent with the geometric results. Using the membrane paradigm, we calculate the several hydrodynamic transport coefficients and compare them with the results obtained by the Kubo formula, which shows the self-consistency of the gauge/gravity duality in the relativistic nonconformal theory. In order to understand more about the relativistic non-conformal theory, we further investigate the binding energy, drag force,
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HOD, SHAHAR. "GRAVITATION, THERMODYNAMICS, AND THE BOUND ON VISCOSITY." International Journal of Modern Physics D 18, no. 14 (2009): 2337–41. http://dx.doi.org/10.1142/s0218271809016132.

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The anti-de Sitter/conformal field theory (AdS/CFT) correspondence implies that small perturbations of a black hole correspond to small deviations from thermodynamic equilibrium in a dual field theory. For gauge theories with an Einstein gravity dual, the AdS/CFT correspondence predicts a universal value for the ratio of the shear viscosity to the entropy density, η/s = 1/4π. It was conjectured recently that all fluids conform to the lower bound: η/s ≥ 1/4π. This conjectured bound has been the focus of much recent attention. However, despite the flurry of research in this field we still lack a
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Cadoni, Mariano, and Andrea P. Sanna. "Unitarity and Page Curve for Evaporation of 2D AdS Black Holes." Entropy 24, no. 1 (2022): 101. http://dx.doi.org/10.3390/e24010101.

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We explore the Hawking evaporation of two-dimensional anti-de Sitter (AdS2), dilatonic black hole coupled with conformal matter, and derive the Page curve for the entanglement entropy of radiation. We first work in a semiclassical approximation with backreaction. We show that the end-point of the evaporation process is AdS2 with a vanishing dilaton, i.e., a regular, singularity-free, zero-entropy state. We explicitly compute the entanglement entropies of the black hole and the radiation as functions of the horizon radius, using the conformal field theory (CFT) dual to AdS2 gravity. We use a si
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BAH, IBRAHIMA, LEOPOLDO A. PANDO ZAYAS, and CÉSAR A. TERRERO-ESCALANTE. "HOLOGRAPHIC GEOMETRIC ENTROPY AT FINITE TEMPERATURE FROM BLACK HOLES IN GLOBAL ANTI-DE SITTER SPACES." International Journal of Modern Physics A 27, no. 09 (2012): 1250048. http://dx.doi.org/10.1142/s0217751x12500480.

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Using a holographic proposal for the geometric entropy we study its behavior in the geometry of Schwarzschild black holes in global AdSp for p = 3, 4, 5. Holographically, the entropy is determined by a minimal surface. On the gravity side, due to the presence of a horizon on the background, generically there are two solutions to the surfaces determining the entanglement entropy. In the case of AdS3, the calculation reproduces precisely the geometric entropy of an interval of length l in a two-dimensional conformal field theory with periodic boundary conditions. We demonstrate that in the cases
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Mazhari, Najmeh Al Sadat, Davood Momeni, Ratbay Myrzakulov, Hosein Gholizade, and Muhammad Raza. "Non-equilibrium phase and entanglement entropy in 2D holographic superconductors via gauge–string duality." Canadian Journal of Physics 94, no. 10 (2016): 1102–11. http://dx.doi.org/10.1139/cjp-2016-0338.

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An alternative method of developing the theory of non-equilibrium two-dimensional holographic superconductor is to start from the definition of a time-dependent AdS3 background. As originally proposed, many of these formulae were cast in exponential form, but the adoption of the numeric method of expression throughout the bulk serves to show more clearly the relationship between the various parameters. The time dependence behavior of the scalar condensation and Maxwell fields are fitted numerically. A usual value for Maxwell field on AdS horizon is exp(–bt), and the exponential log ratio is th
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Tan, Wanpeng. "Truly two-dimensional black holes under dimensional transitions of spacetime." Int. J. Mod. Phys. D 30, no. 14 (2021): 2142020. https://doi.org/10.1142/S0218271821420207.

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A sufficiently massive star in the end of its life will inevitably collapse into a black hole as more deconfined degrees of freedom make the core ever softer. One possible way to avoid the singularity in the end is by dimensional phase transition of spacetime. Indeed, the black hole interior, two-dimensional (2D) in nature, can be described well as a perfect fluid of free massless Majorana fermions and gauge bosons under a 2D supersymmetric mirror model with new understanding of emergent gravity from dimensional evolution of spacetime. In particular, the 2D conformal invariance of the black ho
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Kay, Bernard S. "A product picture for quantum electrodynamics." AVS Quantum Science 4, no. 3 (2022): 031401. http://dx.doi.org/10.1116/5.0085813.

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We present a short account of our work to provide quantum electrodynamics (QED) with a product picture. We aim to complement the longer exposition in a recent paper in Foundations of Physics and to help to make that work more accessible. The product picture is a formulation of QED, equivalent to standard Coulomb gauge QED, in which the Hilbert space arises as (a certain physical subspace of) a product of a Hilbert space for the electromagnetic field and a Hilbert space for charged matter (i.e., the Dirac field) and the Hamiltonian arises as the sum of an electromagnetic Hamiltonian, a charged
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GARCÍA-BELLIDO, JUAN. "DARK MATTER WITH VARIABLE MASSES." International Journal of Modern Physics D 02, no. 01 (1993): 85–95. http://dx.doi.org/10.1142/s0218271893000076.

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String effective theories contain a dilaton scalar field which couples to gravity, matter and radiation. In general, particle masses will have different dilaton couplings. We can always choose a conformal frame in which baryons have constant masses while (nonbaryonic) dark matter have variable masses, in the context of a scalar-tensor gravity theory. We are interested in the phenomenology of this scenario. Dark matter with variable masses could have a measurable effect on the dynamical motion of the halo of spiral galaxies, which may affect cold dark matter models of galaxy formation. As a con
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Dissertations / Theses on the topic "Entanglement entropy, gauge theory, conformal field theory, gravity"

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Mukherjee, Jyotirmoy. "Entanglement properties of gauge theories and the graviton." Thesis, 2023. https://etd.iisc.ac.in/handle/2005/6158.

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Entanglement entropy is emerging as a useful quantity to study critical phenomena in quantum systems, black holes physics, and holography. In this presentation, we discuss entanglement properties of gauge theories and the graviton in the ground state as well as excited states corresponding to local quenches. We show that the quantum entanglement entropy of the ground state of the free Maxwell field in d=4 dimensions, conformal p-forms, and conformal higher spins can be obtained from the partition function on the hyperbolic cylinder. We demonstrate that the entanglement entropy of l
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Datta, Shouvik. "Higher Spins, Entanglement Entropy And Holography." Thesis, 2015. https://etd.iisc.ac.in/handle/2005/2653.

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The idea of holography [1, 2] finds a concrete realization in form of the AdS/CFT correspondence [3, 4]. This duality relates a field theory with conformal symmetries to quantum gravity living in one higher dimension. In this thesis we study aspects of black hole quasinormal modes, higher spin theories and entanglement entropy in the context of this duality. In almost all cases we have been able to subject the duality to some precision tests. Quasinormal modes encode the spectrum of black holes and the time-scale of pertur- bations therein [5]. From the dual CFT viewpoint they are the poles
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Datta, Shouvik. "Higher Spins, Entanglement Entropy And Holography." Thesis, 2015. http://etd.iisc.ernet.in/handle/2005/2653.

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The idea of holography [1, 2] finds a concrete realization in form of the AdS/CFT correspondence [3, 4]. This duality relates a field theory with conformal symmetries to quantum gravity living in one higher dimension. In this thesis we study aspects of black hole quasinormal modes, higher spin theories and entanglement entropy in the context of this duality. In almost all cases we have been able to subject the duality to some precision tests. Quasinormal modes encode the spectrum of black holes and the time-scale of pertur- bations therein [5]. From the dual CFT viewpoint they are the poles o
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