AdS/CFT in condensed matter için kapak resmi
AdS/CFT in condensed matter
Standart Tanımlama:
Yayın Bilgileri:
San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2014]

Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2014]
Fiziksel Tanımlama:
1 PDF (various pagings) : illustrations (some color).
IOP concise physics.
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.
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.


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E-Kitap 1830365-1001 QC793.3 .G38 P573 2014 eb IOP E-Kitap Lokasyonu

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