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AdS/CFT in condensed matter /

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 qua...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pires, A. (Antonio) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2014]
Colección:IOP (Series). Release 1.
IOP concise physics.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface
  • Author biography
  • Introduction
  • Gauge theories
  • Gauge gravity duality
  • 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.