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|a Quantum field theory in condensed matter physics /
|c Alexei M. Tsvelik.
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|a 2nd ed.
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|a Cambridge ;
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|b Cambridge University Press,
|c 2003.
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|a 1 online resource (xvi, 357 pages) :
|b illustrations
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|a Includes bibliographical references (page 358) and index.
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|a 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.
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505 |
0 |
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|a 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.
|
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|a Print version record.
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|a 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.
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|a Quantum field theory.
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|i Print version:
|a Tsvelik, Alexei M.
|t Quantum field theory in condensed matter physics.
|b 2nd ed.
|d Cambridge ; New York : Cambridge University Press, 2003
|z 052182284X
|w (DLC) 2003043957
|w (OCoLC)51770234
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|t Library of Congress classification
|a QC174.45 .T79 2003eb
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