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Methods of Contemporary Gauge Theory


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

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About the Authors
  • This 2002 book introduces the 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, all of which have important contemporary applications. Written as a textbook, it assumes a knowledge of quantum mechanics and elements of perturbation theory, while many relevant concepts are pedagogically introduced at a basic level in the first half of the book. The second half comprehensively covers large-N Yang-Mills theory. The book uses an approach to gauge theories based on path-dependent phase factors known as the Wilson loops, and contains problems with detailed solutions to aid understanding. Suitable for advanced graduate courses in quantum field theory, the book will also be of interest to researchers in high energy theory and condensed matter physics as a survey of recent developments in gauge 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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