Theory of Interacting Quantum Fields /

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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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
VerfasserIn:
Rebenko, Alexei L.,
MitwirkendeR:
Malyshev, Peter V.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2012]
©2012
Year of Publication:2012
Language:English
Series:De Gruyter Studies in Mathematics , 39
Online Access:
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

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