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The Schwinger Action Principle and Effective Action

$82.00 USD

Part of Cambridge Monographs on Mathematical Physics

  • Date Published: January 2011
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511372957

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  • This book is an introduction to the Schwinger action principle in quantum mechanics and quantum field theory, with applications to a variety of different models including Bose–Einstein condensation, the Casimir effect and trapped Fermi gases. The book begins with a brief review of the action principle in classical mechanics and classical field theory. It then moves on to quantum field theory, focusing on the effective action method. This is introduced as simply as possible by using the zero-point energy of the simple harmonic oscillator as the starting point. The book concludes with a more complete definition of the effective action, and demonstrates how the provisional definition used earlier is the first term in the systematic loop expansion. The renormalization of interacting scalar field theory is presented to two-loop order. This book will interest graduate students and researchers in theoretical physics who are familiar with quantum mechanics.

    • Self-contained, making it ideal for self-study
    • Includes applications of the Schwinger action principle to a variety of different models, not only those of particle physics
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    Product details

    • Date Published: January 2011
    • format: Adobe eBook Reader
    • isbn: 9780511372957
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    1. Action principle in classical mechanics
    2. Action principle in classical field theory
    3. Action principle in quantum theory
    4. The effective action
    5. Quantum statistical mechanics
    6. Effective action at finite temperature
    7. Further applications of the Schwinger action principle
    8. General definition of the effective action
    Appendices
    References
    Index.

  • Author

    David J. Toms, University of Newcastle upon Tyne

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