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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| Sprache: | English |
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Cambridge
Cambridge University Press
2010
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| Schriftenreihe: | Cambridge studies in advanced mathematics
127 |
| Online-Zugang: | Volltext |
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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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| spelling | Faria, Edson de Mathematical aspects of quantum field theory Edson de Faria, Welington de Melo Cambridge Cambridge University Press 2010 1 Online-Ressource (xiii, 298 Seiten) txt c cr Cambridge studies in advanced mathematics 127 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. Melo, Welington de Erscheint auch als Druck-Ausgabe 9780521115773 TUM01 ZDB-20-CTM TUM_PDA_CTM https://doi.org/10.1017/CBO9780511760532 Volltext |
| spellingShingle | Faria, Edson de Mathematical aspects of quantum field theory |
| 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 |
| url | https://doi.org/10.1017/CBO9780511760532 |
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