The Schwinger action principle and effective action

著者

• Toms, David J.

書誌事項

The Schwinger action principle and effective action

David J. Toms

（Cambridge monographs on mathematical physics）

Cambridge University Press, 2007

注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

• 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.

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詳細情報

• NII書誌ID(NCID): BA83712261
• ISBN:
  • 9780521876766
• LCCN: 2007013097
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: xi, 495 p.
• 大きさ: 26 cm
• 親書誌ID:
  • BA00074521