AdS/CFT in condensed matter
AdS/CFT in condensed matter



Pires, A. (Antonio), author.

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.

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

Ek Kurum Yazarı
Institute of Physics (Great Britain),

Elektronik Erişim

Materyal TürüDemirbaş NumarasıYer NumarasıRaf KonumuMevcut Konumu
E-Kitap1830365-1001QC793.3 .G38 P573 2014 ebIOP E-Kitap LokasyonuIOP E-Kitap Koleksiyonu