Mathematical Aspects of Quantum Field Theory
2010
First Published
3.83
Average Rating
314
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Part of Series
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.
Avg Rating
3.83
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Authors
Welington de Melo
Author · 2 books
Welington de Melo provém de Guapé, MG. É formado em Engenharia Elétrica pela Universidade Federal de Minas Gerais e obteve o Doutorado em Matemática no IMPA. Fez estágios de pós-doutorado em Berkeley, Califórnia e em Warwick, Inglaterra. É Pesquisador Titular do IMPA. Seus trabalhos de pesquisa versam sobre Sistemas Dinâmicos e Singularidades de Aplicações Diferenciáveis.
