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Theory of interacting quantum fields /
This monograph is devoted to the systematic and encyclopedic presentation of the foundations of quantum field theory. It represents mathematical problems of the quantum field theory with regardto the new methods of the constructive and Euclidean field theory formed for the last thirty years of the 2...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
De Gruyter,
[2012]
|
| Colección: | De Gruyter studies in mathematics ;
39. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Rebenko, Alekseĭ Lukich. | |
| 245 | 1 | 0 | |a Theory of interacting quantum fields / |c Alexei L. Rebenko. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2012] | |
| 264 | 4 | |c ©2012 | |
| 300 | |a 1 online resource (xx, 568 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
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| 490 | 1 | |a De Gruyter studies in mathematics, |x 0179-0986 ; |v 39 | |
| 500 | |a Restrictions on access to electronic version: access available to SOAS staff and students only, using SOAS id and password. | ||
| 504 | |a Includes bibliographical references (pages 549-561) and index. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Notation -- |t Contents -- |t Chapter 0. Introduction -- |t Part I. Symmetry Groups of Elementary Particles -- |t Chapter 1. Lorentz Group -- |t Chapter 2. Groups of Internal Symmetries -- |t Chapter 3. Problems to Part I -- |t Part II. Classical Theory of the Free Fields -- |t Chapter 4. Lagrangian and Hamiltonian Formalisms of the Classical Field Theory -- |t Chapter 5. Classical Theory of Free Scalar Fields -- |t Chapter 6. Spinor Field -- |t Chapter 7. Vector Fields -- |t Chapter 8. Electromagnetic Field -- |t Chapter 9. Equations for Fields with Higher Spins -- |t Chapter 10. Problems to Part II -- |t Part III. Classical Theory of Interacting Fields -- |t Chapter 11. Gauge Theory of the Electromagnetic Interaction -- |t Chapter 12. Classical Theory of Yang-Mills Fields -- |t Chapter 13. Masses of Particles and Spontaneous Breaking of Symmetry -- |t Chapter 14. On the Construction of the General Lagrangian of Interacting Fields -- |t Chapter 15. Solutions of the Equations for Classical Fields: Solitary Waves, Solitons, Instantons -- |t Chapter 16. Problems to Part III -- |t Part IV. Second Quantization of Fields -- |t Chapter 17. Axioms and General Principles of Quantization -- |t Chapter 18. Quantization of the Free Scalar Field -- |t Chapter 19. Quantization of the Free Spinor Field -- |t Chapter 20. Quantization of the Vector and Electromagnetic Fields. Specific Features of the Quantization of Gauge Fields -- |t Chapter 21. CPT. Spin and Statistics -- |t Chapter 22. Representations of Commutation and Anticommutation Relations -- |t Chapter 23. Green Functions -- |t Chapter 24. Problems to Part IV -- |t Part V. Quantum Theory of Interacting Fields. General Problems -- |t Chapter 25. Construction of Quantum Interacting Fields and Problems of This Construction -- |t Chapter 26. Scattering Theory. Scattering Matrix -- |t Chapter 27. Equations for Coefficient Functions of the S-Matrix -- |t Chapter 28. Green Functions and Scattering Matrix -- |t Chapter 29. On Renormalization in Perturbation Theory -- |t Chapter 30. Method of Functional (Path) Integrals in Quantized Field Theory -- |t Chapter 31. Problems to Part V -- |t Part VI. Axiomatic and Euclidean Field Theories -- |t Chapter 32. Wightman Axiomatics -- |t Chapter 33. Other Axiomatic Approaches -- |t Chapter 35. Euclidean Axiomatics -- |t Chapter 36. Problems to Part VI -- |t Part VII. Quantum Theory of Gauge Fields -- |t Chapter 37. Quantum Electrodynamics (QED) -- |t Chapter 38. Quantization of Gauge Fields -- |t Chapter 39. Standard Models of Interactions -- |t Chapter 40. Problems to Part VII -- |t Appendix. Hints for the Solution of Problems -- |t Bibliography -- |t Index. |
| 520 | |a This monograph is devoted to the systematic and encyclopedic presentation of the foundations of quantum field theory. It represents mathematical problems of the quantum field theory with regardto the new methods of the constructive and Euclidean field theory formed for the last thirty years of the 20th century on the basis of rigorous mathematical tools of the functional analysis, the theory of operators, and the theory of generalized functions. The book is useful for young scientists who desire to understand not only the formal structure of the quantum field theory but also its basic concepts. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Quantum field theory. | |
| 650 | 6 | |a Théorie quantique des champs. | |
| 650 | 7 | |a SCIENCE |x Waves & Wave Mechanics. |2 bisacsh | |
| 650 | 7 | |a Quantum field theory |2 fast | |
| 650 | 7 | |a Quantenfeldtheorie |2 gnd | |
| 758 | |i has work: |a Theory of interacting quantum fields (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGTxmrJf8jtF9XqQgcQW9P |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9783110250626 |z 3110250624 |w (DLC) 2012013207 |w (OCoLC)784708360 |
| 830 | 0 | |a De Gruyter studies in mathematics ; |v 39. |x 0179-0986 | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=894113 |z Texto completo |
| 880 | 8 | |6 505-00/(S |a 5.5.3 Time Reversal T̂̂ -- 5.5.4 ĈP̂T̂̂-Invariance -- 5.6 Representations of the Lorentz Group in the Space of States -- 5.7 Lagrangian Formalism of the Scalar Field. Dynamic Invariants -- 6 Spinor Field -- 6.1 Dirac Equation -- 6.1.1 Construction of the Dirac Equation -- 6.1.2 Properties of Dirac Matrices. Conjugate Equation -- 6.2 Relativistic Invariance -- 6.2.1 Transformation Properties of the Spinor Field -- 6.2.2 On Reducible and Irreducible Spinor Representations -- 6.2.3 Transformation Properties of Bilinear Forms δψOψ -- 6.3 Solutions of the Dirac Equation -- 6.3.1 Structure of Solutions in the Momentum Space -- 6.3.2 Classification of Solutions. Helicity -- 6.3.3 Relations Between Spinors -- 6.3.4 Wave Functions of the Electron and Positron. Charge Conjugation -- 6.3.5 ĈP̂T̂̂-Transformation -- 6.4 Lagrangian Formalism -- 6.5 Representations of the Lorentz Group -- 6.5.1 Hilbert Space of States -- 6.5.2 Representations of the Lorentz Group in the Space of States -- 6.6 Applications of the Dirac Equation -- 6.6.1 Dirac Equation in the Presence of External Fields -- 6.7 Massless Spinor Field -- 6.7.1 Two-component Massless Spinor Field -- 6.7.2 Relativistic Invariance -- 6.7.3 Are There Actual Particles Corresponding to the Massless Spinor FieldsPhysical Interpretation of Solutions. Neutrino -- 6.7.4 Lagrangian and Dynamic Invariants -- 6.7.5 On the Mass of Neutrino and Majorana Spinors -- 7 Vector Fields -- 7.1 Lagrangian Formalism -- 7.2 Representations in the Momentum Space -- 7.3 Decomposition into the Longitudinal and Transverse Components -- 7.4 P̂, T̂̂, Ĉ-Transformations -- 8 Electromagnetic Field -- 8.1 Maxwell Equations -- 8.2 Potential of the Electromagnetic Field. | |
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