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.
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.
Mark Burgess is the CEO of Iceberg Digital, a multi-award winning software company for Estate and Letting agents. He is a best-selling business book author and is asked to speak regularly at both National and International events. In 2019, Mark was asked to host a TV show on Sky called 'Raising Your Game', where he would Interview other successful entrepreneurs to give hints, tips and hacks to businesses around the world. Mark has been featured on Forbes.com as one of the entrepreneurs in the world making a difference, has been a judge at the Business Book Awards, and has been nominated for a lifetime achievement award for his work in the Prop-tech industry.
Inhaltsangabe
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.
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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