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AdS/CFT in condensed matter
Title statement AdS/CFT in condensed matter / Antonio Sergio Teixeira Pires. [elektronický zdroj] Varying form of title Anti-de Sitter/conformal field theory. Publication San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2014] Distribution Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2014] Phys.des. 1 PDF (various pagings) : illustrations (some color). ISBN 9781627053099 (online) Internal Bibliographies/Indexes Note Includes bibliographical references. Contents Preface -- Author biography -- Introduction -- Gauge theories -- Gauge gravity duality Content note Quantum phase transitions -- Quantum Ising model -- XY model -- Other models. Gravitation -- Basics of general relativity -- Anti-de Sitter space. AdS/CFT correspondence -- Formalism -- Scalar fields -- Finite temperature -- Finite chemical potential. Dynamics -- Linear response theory -- Relation between susceptibility and Green's function -- The relaxation function -- The fluctuation dissipation theorem -- Properties of the Green's function -- Transport properties. Dynamics using the AdS/CFT formalism -- Calculation of transport coefficients -- Dynamics close to equilibrium -- Spin transport. Bosons and fermions -- Holographic superconductors -- Fermions and AdS/CFT correspondence -- Entanglement. Conclusions -- Appendices -- A. The Schwarzschild solution -- B. Euler-Lagrange equations. Notes to Availability Přístup pouze pro oprávněné uživatele Note Způsob přístupu: World Wide Web.. Požadavky na systém: Adobe Acrobat Reader. Another responsib. Institute of Physics (Great Britain), Subj. Headings Gauge fields (Physics) * String models. * Condensed matter. * Condensed Matter Physics. * SCIENCE / Physics / Condensed Matter. Form, Genre elektronické knihy electronic books Country Kalifornie Language angličtina Document kind Electronic books URL Plný text pro studenty a zaměstnance UPOL 
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The goal of this text is to introduce, in a very elementary way, the concept of anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence to condensed matter physicists. This theory relates a gravity theory in a (d+1)-dimensional anti-de Sitter space time to a strongly coupled d-dimensional quantum field theory living on its boundary. The AdS/CFT correspondence can be used to study finite temperature real time processes, such as response functions and dynamics far from equilibrium in quantum critical points in condensed matter systems. Computation of these quantities is reduced to solving classical gravitational equations in one higher dimension than the original theory.
Preface -- Author biography -- Introduction -- Gauge theories -- Gauge gravity dualityQuantum phase transitions -- Quantum Ising model -- XY model -- Other modelsGravitation -- Basics of general relativity -- Anti-de Sitter spaceAdS/CFT correspondence -- Formalism -- Scalar fields -- Finite temperature -- Finite chemical potentialDynamics -- Linear response theory -- Relation between susceptibility and Green's function -- The relaxation function -- The fluctuation dissipation theorem -- Properties of the Green's function -- Transport propertiesDynamics using the AdS/CFT formalism -- Calculation of transport coefficients -- Dynamics close to equilibrium -- Spin transportBosons and fermions -- Holographic superconductors -- Fermions and AdS/CFT correspondence -- EntanglementConclusions -- Appendices -- A. The Schwarzschild solution -- B. Euler-Lagrange equations.
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