Theory of Interacting Quantum Fields / / Alexei L. Rebenko.
This monograph is devoted to the systematic presentation of foundations of the quantum field theory. Unlike numerous monographs devoted to this topic, a wide range of problems covered in this book are accompanied by their sufficiently clear interpretations and applications. An important significant...
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Superior document: | Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2012] ©2012 |
Year of Publication: | 2012 |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
39 |
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Physical Description: | 1 online resource (568 p.) |
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Table of Contents:
- Frontmatter
- Preface
- Notation
- Contents
- Chapter 0. Introduction
- Part I. Symmetry Groups of Elementary Particles
- Chapter 1. Lorentz Group
- Chapter 2. Groups of Internal Symmetries
- Chapter 3. Problems to Part I
- Part II. Classical Theory of the Free Fields
- 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
- Part III. Classical Theory of Interacting Fields
- 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
- Part IV. Second Quantization of Fields
- 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
- Part V. Quantum Theory of Interacting Fields. General Problems
- 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
- Part VI. Axiomatic and Euclidean Field Theories
- Chapter 32. Wightman Axiomatics
- Chapter 33. Other Axiomatic Approaches
- Chapter 35. Euclidean Axiomatics
- Chapter 36. Problems to Part VI
- Part VII. Quantum Theory of Gauge Fields
- 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