Quantum Field Theory in Condensed Matter Physics

Second Edition

By: Alexei M. Tsvelik

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Paperback | 18 January 2007 | Edition Number 2

At a Glance

Paperback
380 Pages

Edition Type
Revised

Dimensions(cm)
24.4 x 17.2 x 2.6

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This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau-Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.

Industry Reviews

From reviews of the first edition: '... bridges the gap in the current research literature on low-dimensional electron and spin model systems ... I expect my copy to become one of the more ratty items on my shelf.' Physics Today 'Throughout the whole book, the key concepts of QFT related to condensed matter physics are concisely introduced, with examples and excercises added at the end of the chapters when necessary and references listed for each chapter ...' Materials Research Bulletin

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Preface
Acknowledgements
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 Fermi liquid
Electrodynamics in metals
Relativistic fermions: aspects of quantum electrodynamics
Aharonov-Bohm effect and transmutation of statistics
Strongly Fluctuating Spin Systems: Introduction
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 representation 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: Introduction
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 Wess-Zumino-Novikov-Witten 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
Select bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Quantum Field Theory in Condensed Matter Physics

Second Edition

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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