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  1. Home
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  3. Mathematical Aspects of Quantum Field Theory
  • Cited by 7
Publisher:
Cambridge University Press
Online publication date:
March 2013
Print publication year:
2010
Online ISBN:
9780511760532
DOI:
https://doi.org/10.1017/CBO9780511760532
Subjects:
Mathematics (general), Mathematics, Physics and Astronomy, Mathematical Physics, Theoretical Physics and Mathematical Physics
Series:
Cambridge Studies in Advanced Mathematics (127)
Information

Book description

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.

Reviews

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

Source: The Mathematical Intelligencer

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