Theory of Interacting Quantum Fields

Chapter 20. Quantization of the Vector and Electromagnetic Fields. Specific Features of the Quantization of Gauge Fields

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De Gruyter | 2012
https://doi.org/10.1515/9783110250633.225
Theory of Interacting Quantum Fields

Chapters in this book (47)

Frontmatter
Preface
Notation
Contents
Chapter 0. Introduction
Chapter 1. Lorentz Group
Chapter 2. Groups of Internal Symmetries
Chapter 3. Problems to Part I
Chapter 4. Lagrangian and Hamiltonian Formalisms of the Classical Field Theory
Chapter 5. Classical Theory of Free Scalar Fields
Chapter 6. Spinor Field
Chapter 7. Vector Fields
Chapter 8. Electromagnetic Field
Chapter 9. Equations for Fields with Higher Spins
Chapter 10. Problems to Part II
Chapter 11. Gauge Theory of the Electromagnetic Interaction
Chapter 12. Classical Theory of Yang–Mills Fields
Chapter 13. Masses of Particles and Spontaneous Breaking of Symmetry
Chapter 14. On the Construction of the General Lagrangian of Interacting Fields
Chapter 15. Solutions of the Equations for Classical Fields: Solitary Waves, Solitons, Instantons
Chapter 16. Problems to Part III
Chapter 17. Axioms and General Principles of Quantization
Chapter 18. Quantization of the Free Scalar Field
Chapter 19. Quantization of the Free Spinor Field
Chapter 20. Quantization of the Vector and Electromagnetic Fields. Specific Features of the Quantization of Gauge Fields
Chapter 21. CPT. Spin and Statistics
Chapter 22. Representations of Commutation and Anticommutation Relations
Chapter 23. Green Functions
Chapter 24. Problems to Part IV
Chapter 25. Construction of Quantum Interacting Fields and Problems of This Construction
Chapter 26. Scattering Theory. Scattering Matrix
Chapter 27. Equations for Coefficient Functions of the S-Matrix
Chapter 28. Green Functions and Scattering Matrix
Chapter 29. On Renormalization in Perturbation Theory
Chapter 30. Method of Functional (Path) Integrals in Quantized Field Theory
Chapter 31. Problems to Part V
Chapter 32. Wightman Axiomatics
Chapter 33. Other Axiomatic Approaches
Chapter 35. Euclidean Axiomatics
Chapter 36. Problems to Part VI
Chapter 37. Quantum Electrodynamics (QED)
Chapter 38. Quantization of Gauge Fields
Chapter 39. Standard Models of Interactions
Chapter 40. Problems to Part VII
Appendix. Hints for the Solution of Problems
Bibliography
Index