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The Schwinger Action Principle and Effective Action

$85.99 (C)

Part of Cambridge Monographs on Mathematical Physics

  • Date Published: August 2012
  • availability: Available
  • format: Paperback
  • isbn: 9781107406308

$ 85.99 (C)

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About the Authors
  • 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: August 2012
    • format: Paperback
    • isbn: 9781107406308
    • length: 508 pages
    • dimensions: 244 x 170 x 26 mm
    • weight: 0.8kg
    • availability: Available
  • Table of Contents

    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

  • Author

    David J. Toms, University of Newcastle upon Tyne

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