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Classical Covariant Fields

$118.00 (C)

Part of Cambridge Monographs on Mathematical Physics

  • Date Published: November 2005
  • availability: Available
  • format: Paperback
  • isbn: 9780521675772

$ 118.00 (C)
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About the Authors
  • This book discusses the classical foundations of field theory, using the language of variational methods and covariance. It explores the limits of what can be achieved with purely classical notions, and shows how these classical notions have a deep and important connection with the second quantized field theory, which follows on from the Schwinger Action Principle. Its pragmatic view of field theory focuses on issues which are usually omitted from quantum field theory texts and catalogs results which are often hard to find in the literature.

    • Contains material not found in any other books
    • A thorough and pedagogical treatment of the subject
    • Places emphasis on physical understanding
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    Reviews & endorsements

    "There are two features which make this book a really unique source on this subject. It is very detailed. It seems that nothing has escaped the author's attention. Also, this book is very explicit. All notation and conventions are carefully introduced. In many cases, more abstract formulae are accompanied by their component forms. These two features make this book very convenient to use in research and teaching. I greatly recommend this book as a supplementary text for courses on field theory, group theory, dynamical systems, and particle physics." Mathematical Reviews

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    Product details

    • Date Published: November 2005
    • format: Paperback
    • isbn: 9780521675772
    • length: 552 pages
    • dimensions: 244 x 170 x 28 mm
    • weight: 0.87kg
    • contains: 14 b/w illus. 7 tables
    • availability: Available
  • Table of Contents

    Foreword
    Part I. Fields:
    1. Introduction
    2. The electromagnetic field
    3. Field parameters
    4. The action principle
    5. Classical field dynamics
    6. Statistical interpretation of the field
    7. Examples and applications
    Part II. Groups and Fields:
    8. Field transformations
    9. Spacetime transformations
    10. Kinematical and dynamical transformations
    11. Position and momentum
    12. Charge and current
    13. The non-relativistic limit
    14. Unified kinematics and dynamics
    15. Epilogue: quantum field theory
    Part III. Reference: A Compendium of Fields:
    16. Gallery of definitions
    17. The Schrödinger field
    18. The real Klein Gordon field
    19. The complex Klein Gordon field
    20. The Dirac field
    21. The Maxwell radiation field
    22. The massive Proca field
    23. Non-Abelian fields
    24. Chern-Simons theories
    25. Gravity as a field theory
    Part IV. Appendices.

  • Author

    Mark Burgess, Universitetet i Oslo
    Mark Burgess obtained his PhD in theoretical physics from the University of Newcastle Upon Tyne in 1990. He held a Royal Society fellowship at the University of Oslo from 1991 to 1992 and then had a two-year postdoctoral fellowship from the Norwegian Research Council. Since 1994 he has been an associate professor at Oslo University College. Dr Burgess has been invited to lecture at universities and institutes throughout the world, and has published numerous articles, as well as five previous books.

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