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 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.

Author: Edson de Faria, Welington de Melo
Publisher: Cambridge University Press
Published: 08/12/2010
Pages: 314
Binding Type: Hardcover
Weight: 1.25lbs
Size: 9.00h x 6.10w x 0.80d
ISBN: 9780521115773

About the Author
de Melo, Welington: - Welington de Melo is a Professor in the Instituto de Matemática Pura e Aplicada in Rio de Janeiro.de Faria, Edson: - Edson de Faria is a Professor in the Instituto de Matemática e Estatística at the Universidade de São Paulo.