AdS/CFT in condensed matter / Antonio Sergio Teixeira Pires.

Format:

Book

Author/Creator:

Pires, A. (Antonio), author.

Contributor:

Institute of Physics (Great Britain), publisher.

Series:

IOP (Series). Release 1.

IOP concise physics

[IOP release 1]

IOP concise physics, 2053-2571

Language:

English

Subjects (All):

Gauge fields (Physics).

String models.

Condensed matter.

Physical Description:

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

Distribution:

Bristol [England] : IOP Publishing, [2014]

Other Title:

Anti-de Sitter/conformal field theory.

Place of Publication:

San Rafael [California] : Morgan & Claypool Publishers, [2014]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

text file

Biography/History:

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.

Summary:

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.

Contents:

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.

Notes:

Includes bibliographical references.

Title from PDF title page (viewed on July 28, 2014).

Other Format:

Print version:

ISBN:

9781627053099

OCLC:

884847700

Access Restriction:

Restricted for use by site license.