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The Schwinger Action Principle and Effective Action

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Cambridge University Press, Nov 15, 2007 - History - 495 pages
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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Contents

Action principle in classical field theory
40
Action principle in quantum theory
100
The effective action
169
Quantum statistical mechanics
208
Effective action at finite temperature
238
Further applications of the Schwinger action principle
323
General definition of the effective action
368
Mathematical appendices
447
Review of special relativity
462
Interaction picture
469
Bibliography
479
Index
486
Copyright

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Popular passages

Page 479 - I. (1965). Handbook of Mathematical Functions. National Bureau of Standards, Applied Mathematics Series 55.
Page 480 - Cornwall, JM, Jackiw, R. and Tomboulis, E. (1974). Effective action for composite operators, Phys. Rev. D.
Page 480 - A personal view, in Julian Schwinger: The Physicist, the Teacher, and the Man, edited by Yee Jack Ng (World Scientific, Singapore).

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dj Toms The Schwinger Action Principle and Effective Action. A. Vilenkin and eps Shellard Cosmic Strings and Other Topological Defects ...
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University of Texas Libraries /PAL
Title, The Schwinger action principle and effective action / David J. Toms. Imprint, Cambridge, UK ; New York : Cambridge University Press, 2007. ...
catalog.lib.utexas.edu/ record=b6982065

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The Schwinger Action Principle And Effective Action. Cambridge University Press (United Kingdom), 2007 Hardback, 508 stran Velikost: 255x183 mm ...
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Blackwell Online - Science : Quantum Theory
The Schwinger Action Principle and Effective Action, By Toms, David J. £80.00 01 Oct 2007 Hardback Cambridge University Press ...
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The Schwinger Action Principle and Effective Action · The Schwinger Action Principle and Effective Action. Toms, David J. - Cambridge University ...
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The schwinger action principle and effective action · The schwinger action principle and effective action di Toms David J. - Cambridge University Press ...
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About the author (2007)

David Toms is Reader in Mathematical Physics in the School of Mathematics and Statistics at Newcastle University. Prior to joining Newcastle University, Dr Toms was a NATO Science Fellow at Imperial College London, and a postdoctoral fellow at the University of Wisconsin-Milwaukee. His research interests include the formalism of quantum field theory and its applications, and his most recent interests are centred around Kaluza-Klein theory, based on the idea that there are extra spatial dimensions beyond the three obvious ones.

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