The Schwinger action principle and effective action
 Responsibility
 David J. Toms.
 Language
 English.
 Imprint
 Cambridge ; New York : Cambridge University Press, 2007.
 Physical description
 xi, 495 p. : ill. ; 26 cm.
 Series
 Cambridge monographs on mathematical physics.
Access
Available online
 dx.doi.org Cambridge Books Online
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Call number  Status 

QC174.17 .S32 T66 2007  Available 
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Creators/Contributors
 Author/Creator
 Toms, David J., 1953
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 479485) and index.
 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.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 BoseEinstein 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, focussing on the effective action method. This is introduced as simply as possible by using the zeropoint 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 twoloop order. This book will interest graduate students and researchers in theoretical physics who are familiar with quantum mechanics.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2007
 Series
 Cambridge monographs on mathematical physics
 ISBN
 0521876761 (cloth)
 9780521876766 (cloth)