Kooperativer Bibliotheksverbund

UID:

Format: 1 online resource (588p.)

ISBN: 9783110250633

Series Statement: De Gruyter Studies in Mathematics, 39

Content: 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 regard to 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 and connection with classical mechanics, relativistic classical field theory, quantum mechanics, group theory, and the theory of functional integration.

Note: 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 , In English.

Additional Edition: ISBN 978-3-11-025062-6

Language: English

Subjects: Physics

DOI: 10.1515/9783110250633

URL: https://doi.org/10.1515/9783110250633

URL: Volltext

URL: Volltext  (lizenzpflichtig)

URL: lizenzpflichtig

URL: Cover

URL: Inhaltstext

URL: Cover

URL: Volltext

URL: Volletxt  (URL des Erstveröffentlichers)

URL: https://doi.org/10.1515/9783110250633

URL: https://www.degruyter.com/isbn/9783110250633

URL: Cover

URL: https://doi.org/10.1515/9783110250633

URL: Cover

UID:

Format: 1 Online-Ressource (XX, 568 S.) : , Ill.

ISBN: 978-3-11-025063-3 , 978-3-11-025062-6

Series Statement: De Gruyter studies in mathematics 39

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-11-025062-6

Language: English

Subjects: Physics

Keywords: Quantenfeldtheorie

DOI: 10.1515/9783110250633

URL: Volltext

URL: Volletxt  (URL des Erstveröffentlichers)

Author information: Rebenko, Alexei L. 1945-

UID:

Format: XX, 568 S. : , Ill. ; , 240 mm x 170 mm.

ISBN: 3-11-025062-4 , 978-3-11-025062-6

Series Statement: De Gruyter studies in mathematics 39

Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-11-025063-3

Language: English

Subjects: Physics

Keywords: Quantenfeldtheorie

URL: Inhaltstext

URL: Inhaltsverzeichnis

Author information: Rebenko, Alexei L. 1945-

UID:

Format: 1 online resource (588 p.)

ISBN: 9783110250633 , 9783110494938

Series Statement: De Gruyter Studies in Mathematics, 39

Content: 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 regard to 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 and connection with classical mechanics, relativistic classical field theory, quantum mechanics, group theory, and the theory of functional integration.

Note: 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 , Mode of access: Internet via World Wide Web. , In English.

In: DG Studies in Mathematics Backlist eBook Package, De Gruyter, 9783110494938

In: E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2012, De Gruyter, 9783110288995

In: E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2012, De Gruyter, 9783110293722

In: E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2012, De Gruyter, 9783110288926

Additional Edition: ISBN 9783110250626

Language: English

DOI: 10.1515/9783110250633

URL: https://doi.org/10.1515/9783110250633

URL: Cover

UID:

Format: XX, 568 Seiten , graph. Darst. , 25 cm

ISBN: 9783110250626 , 3110250624

Series Statement: De Gruyter studies in mathematics 39

Note: Literaturangaben

Language: English

Keywords: Quantenfeldtheorie

Author information: Rebenko, Alexei L.

UID:

Format: XX, 568 S. , Ill. , 240 mm x 170 mm

ISBN: 3110250624 , 9783110250626

Series Statement: De Gruyter studies in mathematics 39

Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-11-025063-3

Language: English

Subjects: Physics

Keywords: Quantenfeldtheorie

URL: Inhaltstext

URL: Inhaltsverzeichnis

Author information: Rebenko, Alexei L. 1945-

UID:

Format: XX, 568 S. , graph. Darst.

ISBN: 9783110250626

Series Statement: De Gruyter studies in mathematics 39

Note: Literaturverz. S. [549] - 561

Additional Edition: ISBN 9783110250633

Additional Edition: Online-Ausg. Rebenko, Alexei L., 1945 - Theory of interacting quantum fields Berlin : de Gruyter, 2012 ISBN 9783110250633

Additional Edition: Erscheint auch als Online-Ausgabe Rebenko, Alexei L., 1945 - Theory of Interacting Quantum Fields. Berlin/Boston : De Gruyter, Inc., 2012 ISBN 9783110250633

Language: English

Subjects: Physics

Keywords: Quantenfeldtheorie ; Quantenfeldtheorie

URL: Inhaltsverzeichnis

URL: Inhaltstext

URL: Inhaltstext

Author information: Rebenko, Alexei L. 1945-

UID:

Format: 1 Online-Ressource (XX, 568 S.) , Ill.

ISBN: 9783110250633 , 9783110250626

Series Statement: De Gruyter studies in mathematics 39

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-11-025062-6

Language: English

Subjects: Physics

Keywords: Quantenfeldtheorie

DOI: 10.1515/9783110250633

URL: Volltext

URL: Volletxt  (URL des Erstveröffentlichers)

Author information: Rebenko, Alexei L. 1945-

UID:

Format: 1 online resource (588p.)

ISBN: 9783110250633

Series Statement: De Gruyter Studies in Mathematics, 39

Content: 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 regard to 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 and connection with classical mechanics, relativistic classical field theory, quantum mechanics, group theory, and the theory of functional integration.

Note: 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 , In English.

Additional Edition: ISBN 978-3-11-025062-6

Language: English

DOI: 10.1515/9783110250633

URL: https://doi.org/10.1515/9783110250633

UID:

Format: 1 online resource (588 p.)

Edition: 1st ed.

ISBN: 1-283-62764-7 , 3-11-916337-6 , 9786613940094

Series Statement: De Gruyter Studies in Mathematics ; 39

Content: 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 feature of this monograph is the desire of the author to present mathematical problems of the quantum field theory with regard to new methods of the constructive and Euclidean field theory that appeared in the last thirty years of the 20th century and are based on the rigorous mathematical apparatus of functional analysis, the theory of operators, and the theory of generalized functions. The monograph is useful for students, post-graduate students, and young scientists who desire to understand not only the formality of construction of the quantum field theory but also its essence and connection with the classical mechanics, relativistic classical field theory, quantum mechanics, group theory, and the theory of path integral formalism.

Note: Description based upon print version of record. , 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 , Issued also in print. , English

Additional Edition: ISBN 3-11-025063-2

Additional Edition: ISBN 3-11-025062-4

Language: English

Subjects: Physics

DOI: 10.1515/9783110250633