Mathematical aspects of quantum field theory:
Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2010
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| Series: | Cambridge studies in advanced mathematics
127 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations |
| Physical Description: | 1 online resource (xiii, 298 Seiten) |
| ISBN: | 9780511760532 |
| DOI: | 10.1017/CBO9780511760532 |
Staff View
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| 520 | |a Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations | ||
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| contents | Machine generated contents note: Foreword Dennis Sullivan; Preface; 1. Classical mechanics; 2. Quantum mechanics; 3. Relativity, the Lorentz group and Dirac's equation; 4. Fiber bundles, connections and representations; 5. Classical field theory; 6. Quantization of classical fields; 7. Perturbative quantum field theory; 8. Renormalization; 9. The standard model; Appendix A. Hilbert spaces and operators; Appendix B. C* algebras and spectral theory; Bibliography; Index |
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| id | DE-604.BV043940847 |
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| indexdate | 2024-07-10T07:39:14Z |
| institution | BVB |
| isbn | 9780511760532 |
| language | English |
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| publishDate | 2010 |
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| spelling | Faria, Edson de Verfasser (DE-588)136734782 aut Mathematical aspects of quantum field theory Edson de Faria, Welington de Melo Cambridge Cambridge University Press 2010 1 online resource (xiii, 298 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 127 Machine generated contents note: Foreword Dennis Sullivan; Preface; 1. Classical mechanics; 2. Quantum mechanics; 3. Relativity, the Lorentz group and Dirac's equation; 4. Fiber bundles, connections and representations; 5. Classical field theory; 6. Quantization of classical fields; 7. Perturbative quantum field theory; 8. Renormalization; 9. The standard model; Appendix A. Hilbert spaces and operators; Appendix B. C* algebras and spectral theory; Bibliography; Index Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations Mathematik Quantum field theory / Mathematics Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 s Mathematische Physik (DE-588)4037952-8 s DE-604 Mathematische Methode (DE-588)4155620-3 s 1\p DE-604 Melo, Welington de 1946-2016 Sonstige (DE-588)110394267 oth Erscheint auch als Druck-Ausgabe 978-0-521-11577-3 Cambridge studies in advanced mathematics 127 (DE-604)BV044781283 127 https://doi.org/10.1017/CBO9780511760532 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Faria, Edson de Mathematical aspects of quantum field theory Cambridge studies in advanced mathematics Machine generated contents note: Foreword Dennis Sullivan; Preface; 1. Classical mechanics; 2. Quantum mechanics; 3. Relativity, the Lorentz group and Dirac's equation; 4. Fiber bundles, connections and representations; 5. Classical field theory; 6. Quantization of classical fields; 7. Perturbative quantum field theory; 8. Renormalization; 9. The standard model; Appendix A. Hilbert spaces and operators; Appendix B. C* algebras and spectral theory; Bibliography; Index Mathematik Quantum field theory / Mathematics Quantenfeldtheorie (DE-588)4047984-5 gnd Mathematische Physik (DE-588)4037952-8 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| subject_GND | (DE-588)4047984-5 (DE-588)4037952-8 (DE-588)4155620-3 |
| title | Mathematical aspects of quantum field theory |
| title_auth | Mathematical aspects of quantum field theory |
| title_exact_search | Mathematical aspects of quantum field theory |
| title_full | Mathematical aspects of quantum field theory Edson de Faria, Welington de Melo |
| title_fullStr | Mathematical aspects of quantum field theory Edson de Faria, Welington de Melo |
| title_full_unstemmed | Mathematical aspects of quantum field theory Edson de Faria, Welington de Melo |
| title_short | Mathematical aspects of quantum field theory |
| title_sort | mathematical aspects of quantum field theory |
| topic | Mathematik Quantum field theory / Mathematics Quantenfeldtheorie (DE-588)4047984-5 gnd Mathematische Physik (DE-588)4037952-8 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| topic_facet | Mathematik Quantum field theory / Mathematics Quantenfeldtheorie Mathematische Physik Mathematische Methode |
| url | https://doi.org/10.1017/CBO9780511760532 |
| volume_link | (DE-604)BV044781283 |
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