Quantum field theory in condensed matter physics / Alexei M. Tsvelik.

Format:

Book

Author/Creator:

Tsvelik, Alexei M.

Language:

English

Subjects (All):

Quantum field theory.

Condensed matter.

Physical Description:

xvi, 360 pages : illustrations ; 26 cm

Edition:

Second edition.

Place of Publication:

Cambridge ; New York : Cambridge University Press, 2003.

Summary:

A new edition of a successful advanced text in condensed matter physics.

Contents:

Introduction to Methods

QFT: language and goals

Connection between quantum and classical: path integrals

Definitions of correlation functions: Wick's theorem

Free bosonic field in an external field

Perturbation theory: Feynman diagrams

Calculation methods for diagram series: divergences and their elimination

Renormalization group procedures

O(N)-symmetric vector model below the transition point

Nonlinear sigma models in two dimensions: renormalization group and 1/N-expansion

O(3)-nonlinear sigma model in the strong coupling limit

Fermions

Path integral and Wick's theorem for fermions

Interaction electrons: the concept of a Fermi liquid

Electrodynamics in metals

Relativistic fermions: aspects of quantum electrodynamics

Aharonov-Bohm effect and transmutation of statistics

Strongly Fluctuating Spin Systems

Schwinger-Wigner quantization procedure: nonlinear sigma models

O(3)-nonlinear sigma model in (2+1) dimensions: the phase diagram

Order from disorder

Jordan-Wigner transformations for spin S=1/2 models in D=1, 2, 3

Majorana representations for spin S=1/2 magnets: relationship to Z2 lattice gauge theories

Path integral representations for a doped antiferromagnet

Physics in the World of One Spatial Dimension

Model of the free bosonic massless scalar field

Relevant and irrelevant fields

Kosterlitz-Thouless transition

Conformal symmetry

Virasoro algebra

Differential equations for the correlation functions

Ising model

One-dimensional spinless fermions: Tomonaga-Luttinger liquid

One-dimensional fermions with spin: spin-charge separation

Kac-Moody algebras: Wess-Zumino-Novikov-Witten model

Wess-Zumino-Novikov-Witten model in the Lagrangian form: non-Abelian bosonization

Semiclassical approach to WZNW models

Integrable models: dynamical mass generation

A comparative study of dynamical mass generation in one and three dimensions

One-dimensional spin liquids: spin ladder and spin S=1 Heisenberg chain

Kondo chain

Gauge fixing in non-Abelian theories: (1+1)-dimensional quantum chromodynamics.

Notes:

Includes bibliographical references (page [358]) and index.

ISBN:

052182284X

OCLC:

51770234

Online:

Publisher description