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Methods of Contemporary Gauge Theory

$103.00 (C)

Part of Cambridge Monographs on Mathematical Physics

  • Author: Yuri Makeenko, Institute of Theoretical and Experimental Physics, Moscow
  • Date Published: November 2005
  • availability: Available
  • format: Paperback
  • isbn: 9780521022156

$ 103.00 (C)

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About the Authors
  • This book provides a thorough introduction to quantum theory of gauge fields. Emphasis is placed on four non-perturbative methods: path integrals, lattice gauge theories, the 1/N expansion, and reduced matrix models, which have important contemporary applications. The book uses a novel approach to gauge theories based on path-dependent phase factors known as the Wilson loops, and provides comprehensive coverage of large-N Yang-Mills theory.

    • Introduces gauge theories in a pedagogical way
    • Written in a clear and accessible style
    • Ideal as a textbook for advanced graduate courses on quantum field theory
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    Reviews & endorsements

    ' … the book is a valuable source of information on recent developments for advanced students.' Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts

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    Product details

    • Date Published: November 2005
    • format: Paperback
    • isbn: 9780521022156
    • length: 432 pages
    • dimensions: 245 x 172 x 25 mm
    • weight: 0.681kg
    • contains: 133 exercises
    • availability: Available
  • Table of Contents

    Part I. Path Integrals:
    1. Operator calculus
    2. Second quantization
    3. Quantum anomalies from path integral
    4. Instantons in quantum mechanics
    Part II. Lattice Gauge Theories:
    5. Observables in gauge theories
    6. Gauge fields on a lattice
    7. Lattice methods
    8. Fermions on a lattice
    9. Finite temperatures
    Part III. 1/N Expansion:
    10. O(N) vector models
    11. Multicolor QCD
    12. QCD in loop space
    13. Matrix models
    Part IV. Reduced Models:
    14. Eguchi–Kawai model
    15. Twisted reduced models
    16. Non-commutative gauge theories.

  • Author

    Yuri Makeenko, Institute of Theoretical and Experimental Physics, Moscow

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