Classical Covariant Fields / Edition 1

Classical Covariant Fields / Edition 1

by Mark Burgess
     
 

ISBN-10: 0521675774

ISBN-13: 9780521675772

Pub. Date: 07/31/2005

Publisher: Cambridge University Press

This book discusses the classical foundations of field theory, using the language of variational methods and covariance. It explores the limits of what can be achieved with purely classical notions, and shows how these classical notions have a deep and important connection with the second quantized field theory, which follows on from the Schwinger Action Principle.

Overview

This book discusses the classical foundations of field theory, using the language of variational methods and covariance. It explores the limits of what can be achieved with purely classical notions, and shows how these classical notions have a deep and important connection with the second quantized field theory, which follows on from the Schwinger Action Principle. Its pragmatic view of field theory focuses on issues which are usually omitted from quantum field theory texts and catalogs results which are often hard to find in the literature.

Product Details

ISBN-13:
9780521675772
Publisher:
Cambridge University Press
Publication date:
07/31/2005
Series:
Cambridge Monographs on Mathematical Physics Series
Edition description:
New Edition
Pages:
552
Product dimensions:
6.85(w) x 9.72(h) x 1.10(d)

Related Subjects

Table of Contents

Foreword; Part I. Fields: 1. Introduction; 2. The electromagnetic field; 3. Field parameters; 4. The action principle; 5. Classical field dynamics; 6. Statistical interpretation of the field; 7. Examples and applications; Part II. Groups and Fields: 8. Field transformations; 9. Spacetime transformations; 10. Kinematical and dynamical transformations; 11. Position and momentum; 12. Charge and current; 13. The non-relativistic limit; 14. Unified kinematics and dynamics; 15. Epilogue: quantum field theory; Part III. Reference: A Compendium of Fields: 16. Gallery of definitions; 17. The Schrödinger field; 18. The real Klein Gordon field; 19. The complex Klein Gordon field; 20. The Dirac field; 21. The Maxwell radiation field; 22. The massive Proca field; 23. Non-Abelian fields; 24. Chern-Simons theories; 25. Gravity as a field theory; Part IV. Appendices.

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