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Mathematical Aspects of Quantum Field Theory
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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.
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Cambridge University Press; August 2010
314 pages; ISBN 9780511910937
Read online, or download in secure PDF format
314 pages; ISBN 9780511910937
Read online, or download in secure PDF format
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0511910932
9780511910937
9780521115773
9781139635523