Classical Covariant Fields

ISBN-13: 9781009289863 / Angielski / Miękka / 2023 / 75 str.

Mark (Universitetet i Oslo) Burgess

Opis

This 2002 OA monograph discusses the classical foundations of field theory, using the language of variational methods and covariance.

Recenzje

'In conclusion, I think that this book can be valuable for graduate students in physics, mainly interested in quantum field theories and particle physics, who will appreciate an exhaustive description of the classical foundations of such theories.' Zentralblatt MATH

Spis treści

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.