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

Material type: TextPublication details: Cambridge ; New York : Cambridge University Press, 2003. Edition: 2nd edDescription: 1 online resource (xvi, 357 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 0511078595; 9780511078590; 0511077025; 9780511077029; 9780511615832; 0511615833; 0521529808; 9780521529808; 9780511075483; 0511075480Subject(s): Quantum field theory | Condensed matter | SCIENCE -- Waves & Wave Mechanics | Condensed matter | Quantum field theory | Festkörper | Quantenfeldtheorie | Kwantumveldentheorie | Vastestoffysica | Atomic Physics | Physics | Physical Sciences & MathematicsGenre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Quantum field theory in condensed matter physics.DDC classification: 530.1/43 LOC classification: QC174.45 | .T79 2003ebOther classification: 33.51 | 33.60 | UO 4000 | UP 3600 | UP 1000 | UP 1300 Online resources: Click here to access onlineItem type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
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Includes bibliographical references (page 358) and index.

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.

Print version record.

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.