TY  - BOOK
AU  - Faria,Edson de
AU  - Melo,Welington de
TI  - Mathematical aspects of quantum field theory
T2  - Cambridge studies in advanced mathematics
SN  - 9780511760532 (ebook)
AV  - QC174.45 .F37 2010
U1  - 530.14/30151 22
PY  - 2010///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Quantum field theory
KW  - Mathematics
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511760532
ER  -