Classical Covariant Fields / / Mark Burgess.
This 2002 book discusses the classical foundations of field theory, using the language of variational methods and covariance. It is an ideal supplementary text for courses on elementary field theory, group theory and dynamical systems, and a valuable reference for researchers. It has been reissued a...
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| Place / Publishing House: | Cambridge, United Kingdom : : Cambridge University Press,, 2002. |
| Year of Publication: | 2002 |
| Language: | English |
| Physical Description: | 1 online resource (xx, 529 pages) |
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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 Schroedinger 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.