Overview
- Explains the Standard Model to students of both mathematics and physics
- Covers both the specific gauge theory of the Standard Model and generalizations
- Highly accessible and self-contained
Part of the book series: Universitext (UTX)
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About this book
The first part of the book covers the mathematical theory of Lie groups and Lie algebras, fibre bundles, connections, curvature and spinors. The second part then gives a detailed exposition of how these concepts are applied in physics, concerning topics such as the Lagrangians of gauge and matter fields, spontaneous symmetry breaking, the Higgs boson and mass generation of gauge bosons and fermions. The book also contains a chapter on advanced and modern topics in particle physics, such as neutrino masses, CP violation and Grand Unification.
This carefully written textbook is aimed at graduate students of mathematics and physics. It contains numerous examples and more than 150 exercises, making it suitable for self-study and use alongside lecture courses. Only a basic knowledge of differentiable manifolds and special relativity is required, summarized in the appendix.Similar content being viewed by others
Keywords
- gauge theory
- gauge theory mathematics
- standard model of elementary particle physics
- spontaneous symmetry breaking
- HIggs boson standard model
- Higss boson
- electroweak interaction
- quantum chromodynamics qcd theory
- grand unified theory
- Lagrangian
- principal bundle
- vector bundle
- connections and curvature
- spinor
- gauge theory of the Standard Model
- gauge theory and Lagrangians
- MSC (2010) 55R10, 53C05, 22E70, 15A66, 53C27, 57S15, 22E60
- 81T13, 81R40, 81V19, 81V05, 81V10, 81V15
Table of contents (11 chapters)
-
Mathematical Foundations
-
The Standard Model of Elementary Particle Physics
-
Appendix
Reviews
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Mathematical Gauge Theory
Book Subtitle: With Applications to the Standard Model of Particle Physics
Authors: Mark J.D. Hamilton
Series Title: Universitext
DOI: https://doi.org/10.1007/978-3-319-68439-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Softcover ISBN: 978-3-319-68438-3Published: 10 January 2018
eBook ISBN: 978-3-319-68439-0Published: 06 December 2017
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XVIII, 658
Number of Illustrations: 40 b/w illustrations
Topics: Manifolds and Cell Complexes (incl. Diff.Topology), Elementary Particles, Quantum Field Theory, Mathematical Methods in Physics, Topological Groups, Lie Groups