Mathematical Aspects of Quantum Field Theory by Welington De Melo

Mathematical Aspects of Quantum Field Theory by Welington De Melo

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.

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

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.

SKU	Unavailable
ISBN 13	9780521115773
ISBN 10	0521115779
Title	Mathematical Aspects of Quantum Field Theory
Author	Welington De Melo
Series	Cambridge Studies In Advanced Mathematics
Condition	Unavailable
Binding Type	Hardback
Publisher	Cambridge University Press
Year published	2010-08-12
Number of pages	314
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.