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Classical Solutions in Quantum Field Theory
Solitons and Instantons in High Energy Physics

$67.00 (C)

Part of Cambridge Monographs on Mathematical Physics

  • Date Published: February 2015
  • availability: Available
  • format: Paperback
  • isbn: 9781107438057

$ 67.00 (C)
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  • Classical solutions play an important role in quantum field theory, high energy physics and cosmology. Real-time soliton solutions give rise to particles, such as magnetic monopoles, and extended structures, such as domain walls and cosmic strings, that have implications for early universe cosmology. Imaginary-time Euclidean instantons are responsible for important nonperturbative effects, while Euclidean bounce solutions govern transitions between metastable states. Written for advanced graduate students and researchers in elementary particle physics, cosmology and related fields, this book brings the reader up to the level of current research in the field. The first half of the book discusses the most important classes of solitons: kinks, vortices and magnetic monopoles. The cosmological and observational constraints on these are covered, as are more formal aspects, including BPS solitons and their connection with supersymmetry. The second half is devoted to Euclidean solutions, with particular emphasis on Yang–Mills instantons and on bounce solutions.

    • Covers both classical and quantum aspects of solitons and instantons
    • Assumes no previous knowledge of solitons and instantons
    • Develops any necessary topology and Lie algebra theory
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    Reviews & endorsements

    "The author is undoubtedly a top expert in the field. All his research has been dedicated to this subject and he is certainly the right person to write such a book. The matter is treated in a very competent and pedagogical way, and it is indeed a pleasure to read this book. "
    Giuseppe Nardelli, Mathematical reviews

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    Product details

    • Date Published: February 2015
    • format: Paperback
    • isbn: 9781107438057
    • length: 342 pages
    • dimensions: 245 x 171 x 18 mm
    • weight: 0.6kg
    • contains: 60 b/w illus.
    • availability: Available
  • Table of Contents

    1. Introduction
    2. One-dimensional solitons
    3. Solitons in more dimensions - vortices and strings
    4. Some topology
    5. Magnetic monopoles with U(1) charges
    6. Magnetic monopoles in larger gauge groups
    7. Cosmological implications and experimental bounds
    8. BPS solitons, supersymmetry, and duality
    9. Euclidean solutions
    10. Yang–Mills instantons
    11. Instantons, fermions, and physical consequences
    12. Vacuum decay
    Appendixes
    References
    Index.

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    Classical Solutions in Quantum Field Theory

    Erick J. Weinberg

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  • Author

    Erick J. Weinberg, Columbia University, New York
    Erick J. Weinberg is Professor of Physics in the Department of Physics, Columbia University. Since 1996 he has been Editor of Physical Review D. His research interests include the implications of solitons and instantons for high-energy physics, cosmology and black holes, as well as a variety of other topics in quantum field theory.

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