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.

This book presents some of the basic ideas and tools of quantum field theory to a mathematical audience.

About the Author
Edson de Faria is a Professor in the Instituto de Matematica e Estatistica at the Universidade de Sao Paulo. Welington de Melo is a Professor in the Instituto de Matematica Pura e Aplicada in Rio de Janeiro.

Reviews
'... a brief, but careful, reasonably balanced, and representative introduction for mathematicians to QFT as it is used in physics.' The Mathematical Intelligencer



Book Information
ISBN 9780521115773
Author Edson de Faria
Format Hardback
Page Count 314
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 560g
Dimensions(mm) 235mm * 158mm * 20mm