AdS/CFT in condensed matter /

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Includes bibliographical references.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.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.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader.Antonio Sergio Teixeira Pires (born 18 November 1948) is a Professor of Physics in the Department of Physics at the Universidade Federal de Minas Gerais, Belo Horizonte, Brazil. He received his PhD in Physics from University of California in Santa Barbara in 1976. He works in techniques of quantum field theory applied to condensed matter. He is a member of the Brazilian Academy of Science, was an Editor of the Brazilian Journal of Physics and currently is a member of the Advisory Board of the Journal of Condensed Matter Physics.Title from PDF title page (viewed on July 28, 2014).

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: .,

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1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9781627053099

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530.14/35

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Subject(s)

SCIENCE / Physics / Condensed Matter.
String models.
Condensed matter.
Gauge fields (Physics)
Condensed Matter Physics.

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Statement of Responsibility

Antonio Sergio Teixeira Pires.

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