Description
Mathematical Aspects of Quantum Field Theory
Cambridge Studies in Advanced Mathematics Series
Authors: de Faria Edson, de Melo Welington
This book presents some of the basic ideas and tools of quantum field theory to a mathematical audience.
Language: EnglishSubject for Mathematical Aspects of Quantum Field Theory:
Approximative price 74.82 €
In Print (Delivery period: 14 days).
Add to cart the book of de Faria Edson, de Melo Welington
Publication date: 08-2010
314 p. · 15.8x23.5 cm · Hardback
314 p. · 15.8x23.5 cm · Hardback
Description
/li>Contents
/li>Biography
/li>
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.
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.
Edson de Faria is a Professor in the Instituto de Matemática e Estatística at the Universidade de São Paulo.
Welington de Melo is a Professor in the Instituto de Matemática Pura e Aplicada in Rio de Janeiro.
Welington de Melo is a Professor in the Instituto de Matemática Pura e Aplicada in Rio de Janeiro.
© 2024 LAVOISIER S.A.S.
These books may interest you
Geometry, Topology and Physics 220.72 €