Umfang:
1 online resource (xiii, 298 Seiten)
ISBN:
9780511760532
Serie:
Cambridge studies in advanced mathematics 127
Inhalt:
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
Anmerkung:
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
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe ISBN 978-0-521-11577-3
Sprache:
Englisch
Fachgebiete:
Physik
,
Mathematik
Schlagwort(e):
Quantenfeldtheorie
;
Mathematische Physik
;
Quantenfeldtheorie
;
Mathematische Methode
DOI:
10.1017/CBO9780511760532
URL:
Volltext
(URL des Erstveröffentlichers)
Mehr zum Autor:
Melo, Welington de 1946-2016
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