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Author Tsvelik, Alexei M.

Title Quantum field theory in condensed matter physics / Alexei M. Tsvelik
Edition Second edition
Published Cambridge ; New York : Cambridge University Press, 2003
Online access available from:
EBSCO eBook Academic Collection    View Resource Record  


Description 1 online resource (xvi, 357 pages) : illustrations
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
Summary This book is a course in modern quantum field theory for condensed matter physics. The book is intended for graduate students, postdoctoral associates and independent researchers working condensed matter physics
Bibliography Includes bibliographical references (page 358) and index
Notes Print version record
Subject Condensed matter.
Quantum field theory.
Form Electronic book
ISBN 0511075480 (electronic bk. ; EB20)
0511077025 (electronic bk.)
0511078595 (electronic bk.)
0511615833 (electronic bk.)
9780511075483 (electronic bk. ; EB20)
9780511077029 (electronic bk.)
9780511078590 (electronic bk.)
9780511615832 (electronic bk.)