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The Schwinger Action Principle and Effective Action

The Schwinger Action Principle and Effective Action

Paperback

Series: Cambridge Monographs on Mathematical Physics

Physics

ISBN10: 1107406307
ISBN13: 9781107406308
Publisher: Cambridge
Published: Aug 9 2012
Pages: 508
Weight: 1.76
Height: 1.02 Width: 6.69 Depth: 9.61
Language: English
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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