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 stat...
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| Corporate Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York :
Cambridge University Press,
2010.
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| Series: | Cambridge studies in advanced mathematics ;
127. |
| Subjects: | |
| Online Access: | CONNECT CONNECT |
| LEADER | 03648cam a2200553Ka 4500 | ||
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| 003 | OCoLC | ||
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| 099 | |a Electronic book | ||
| 100 | 1 | |a Faria, Edson de. | |
| 245 | 1 | 0 | |a Mathematical aspects of quantum field theory |h [electronic resource] / |c Edson de Faria, Welington de Melo. |
| 260 | |a New York : |b Cambridge University Press, |c 2010. | ||
| 300 | |a 1 online resource (xiii, 298 p.) : |b ill. | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics ; |v 127 | |
| 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"-- |c Provided by publisher. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 8 | |a 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. | |
| 500 | |a Description based on print version record. | ||
| 650 | 0 | |a Quantum field theory |x Mathematics. | |
| 700 | 1 | |a Melo, Welington de. | |
| 710 | 2 | |a NetLibrary, Inc. | |
| 776 | 0 | 8 | |i Print version: |a Faria, Edson de. |t Mathematical aspects of quantum field theory. |d New York : Cambridge University Press, 2010 |z 9780521115773 |w (DLC) 2010012779 |w (OCoLC)606234551 |
| 830 | 0 | |a Cambridge studies in advanced mathematics ; |v 127. | |
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