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Quantum Field Theory in Condensed Matter Physics

Quantum Field Theory in Condensed Matter Physics

2nd Edition

$69.99 (P)

  • Date Published: January 2007
  • availability: Available
  • format: Paperback
  • isbn: 9780521529808

$ 69.99 (P)
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About the Authors
  • This course in modern quantum field theory for condensed matter physics includes a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals. Alexei Tsvelik also covers Landau Fermi liquid theory and 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. First edition Hb (1995): 0-521-45467-0 First edition Pb (1996): 0-521-58989-4

    • New edition of a successful and well-reviewed graduate textbook
    • Greatly expanded and improved
    • Ideal for graduate courses in condensed matter physics
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    Reviews & endorsements

    "...the book will, as intended, find its greatest value in bridging the gap between courses based on one or another of the standard texts and the current research literature on low dimensional electron and spin model systems. The author's breezy writing style brightens the text." Physics Today

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    Product details

    • Edition: 2nd Edition
    • Date Published: January 2007
    • format: Paperback
    • isbn: 9780521529808
    • length: 380 pages
    • dimensions: 244 x 170 x 20 mm
    • weight: 0.61kg
    • contains: 99 b/w illus. 4 tables 17 exercises
    • availability: Available
  • Table of Contents

    Preface
    Acknowledgements
    Part I. Introduction to Methods:
    1. QFT: language and goals
    2. Connection between quantum and classical: path integrals
    3. Definitions of correlation functions: Wick's theorem
    4. Free bosonic field in an external field
    5. Perturbation theory: Feynman diagrams
    6. Calculation methods for diagram series: divergences and their elimination
    7. Renormalization group procedures
    8. O(N)-symmetric vector model below the transition point
    9. Nonlinear sigma models in two dimensions: renormalization group and 1/N-expansion
    10. O(3) nonlinear sigma model in the strong coupling limit
    Part II. Fermions:
    11. Path integral and Wick's theorem for fermions
    12. Interaction electrons: the Fermi liquid
    13. Electrodynamics in metals
    14. Relativistic fermions: aspects of quantum electrodynamics
    15. Aharonov-Bohm effect and transmutation of statistics
    Part III. Strongly Fluctuating Spin Systems: Introduction
    16. Schwinger-Wigner quantization procedure: nonlinear sigma models
    17. O(3) nonlinear sigma model in (2+1) dimensions: the phase diagram
    18. Order from disorder
    19. Jordan-Wigner transformations for spin S=1/2 models in D=1, 2, 3
    20. Majorana representation for spin S=1/2 magnets: relationship to Z2 lattice gauge theories
    21. Path integral representations for a doped antiferromagnet
    Part IV. Physics in the World of One Spatial Dimension: Introduction
    22. Model of the free bosonic massless scalar field
    23. Relevant and irrelevant fields
    24. Kosterlitz-Thouless transition
    25. Conformal symmetry
    26. Virasoro algebra
    27. Differential equations for the correlation functions
    28. Ising model
    29. One-dimensional spinless fermions: Tomonaga-Luttinger liquid
    30. One-dimensional fermions with spin: spin-charge separation
    31. Kac-Moody algebras: Wess-Zumino-Novikov-Witten model
    32. Wess-Zumino-Novikov-Witten model in the Lagrangian form: non-Abelian bosonization
    33. Semiclassical approach to Wess-Zumino-Novikov-Witten models
    34. Integrable models: dynamical mass generation
    35. A comparative study of dynamical mass generation in one and three dimensions
    36. One-dimensional spin liquids: spin ladder and spin S=1 Heisenberg chain
    37. Kondo chain
    38. Gauge fixing in non-Abelian theories: (1+1)-dimensional quantum chromodynamics
    Select bibliography
    Index.

  • Author

    Alexei M. Tsvelik, Brookhaven National Laboratory, New York

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