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Non-Perturbative Field Theory
From Two Dimensional Conformal Field Theory to QCD in Four Dimensions

$75.99 (C)

  • Date Published: July 2014
  • availability: Available
  • format: Paperback
  • isbn: 9781107424715

$ 75.99 (C)

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About the Authors
  • Providing a new perspective on quantum field theory, this book gives a pedagogical and up-to-date exposition of non-perturbative methods in relativistic quantum field theory and introduces the reader to modern research work in theoretical physics. It describes in detail non-perturbative methods in quantum field theory, and explores two- dimensional and four- dimensional gauge dynamics using those methods. The book concludes with a summary emphasizing the interplay between two- and four- dimensional gauge theories. Aimed at graduate students and researchers, this book covers topics from two-dimensional conformal symmetry, affine Lie algebras, solitons, integrable models, bosonization, and 't Hooft model, to four-dimensional conformal invariance, integrability, large N expansion, Skyrme model, monopoles and instantons. Applications, first to simple field theories and gauge dynamics in two dimensions, and then to gauge theories in four dimensions and quantum chromodynamics (QCD) in particular, are thoroughly described.

    • Presents a new perspective on relativistic quantum field theory
    • Features detailed studies of major subjects, including conformal symmetry, bosonization and large N
    • Explains applications to gauge theories in general and QCD in particular, including spectrum and scattering
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    Reviews & endorsements

    "... highly recommendable... This book fills a gap in the literature on non-pertubative aspects of field theories by bringing together many topics which are usually covered only separately in different books. Thus, this book is definitely a must-read for people active in this field."
    Axel Maas, Mathematical Reviews

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    Product details

    • Date Published: July 2014
    • format: Paperback
    • isbn: 9781107424715
    • length: 456 pages
    • dimensions: 244 x 170 x 23 mm
    • weight: 0.72kg
    • availability: Available
  • Table of Contents

    Part I. Non-Perturbative Methods in Two Dimensional Field Theory:
    1. From massless free scalar field to conformal field theories
    2. Conformal field theory
    3. Theories invariant under affine current algebras
    4. Wess-Zumino-Witten model and Coset models
    5. Solitons and two dimensional integrable models
    6. Bosonization
    7. The large N limit of two dimensional models
    Part II. Two Dimensional Non-Perturbative Gauge Dynamics:
    8. Gauge theories in two dimensions - basics
    9. Bosonized gauge theories
    10. The t'Hooft solution of 2d QCD
    11. Mesonic spectrum from current algebra
    12. DLCQ and the spectra of QC with fundamental and adjoint fermions
    13. The baryonic spectrum of multiflavour QCD2 in the strong coupling limit
    14. Confinement versus screening
    15. QCD2, Coset models and BRST quantization
    16. Generalized Yang Mills theory on Riemann surface
    Part III. From Two to Four Dimensions:
    17. Conformal invariance in four dimensional field theories and in QCD
    18. Integrability in four dimensional gauge dynamics
    19. Large N methods in QCD4
    20. From 2d bosonized baryons to 4d skyrmions
    21. From two dimensional solitons to four dimensional magnetic monopoles
    22. Instantons of QCD
    23. Summary, conclusions and outlook

  • Authors

    Yitzhak Frishman, Weizmann Institute of Science, Israel
    YITZHAK FRISHMAN is a Professor Emeritus at the Weizmann Institute, Israel, where he has served as head of the Einstein Centre for Theoretical Physics and head of the Department of Particle Physics.

    Jacob Sonnenschein, Tel-Aviv University
    JACOB SONNENSCHEIN is a Professor of Physics at Tel Aviv University, Israel, where he was head of the Particle Physics Department from 2003 to 2007.

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