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  3. The Schwinger Action Principle and Effective Action
  • Cited by 19
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    • Publisher:
      Cambridge University Press
      Publication date:
      October 2009
      November 2007
      ISBN:
      9780511585913
      9780521876766
      9781107406308
      DOI:
      https://doi.org/10.1017/CBO9780511585913
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      1kg, 508 Pages
      Dimensions:
      (244 x 170 mm)
      Weight & Pages:
      0.8kg, 508 Pages
      • Subjects:
      Mathematics, Physics and Astronomy, Mathematical Physics, Theoretical Physics and Mathematical Physics
      Series:
      Cambridge Monographs on Mathematical Physics
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    • Selected: Digital
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    Subjects:
    Mathematics, Physics and Astronomy, Mathematical Physics, Theoretical Physics and Mathematical Physics
    Series:
    Cambridge Monographs on Mathematical Physics
    Information

    Book description

    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.

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