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Mathematical Gauge Theory by Mark J.D. Hamilton
Mathematical Gauge Theory by Mark J.D. Hamilton
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Mathematical Gauge Theory

With Applications to the Standard Model of Particle Physics
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Description

The Standard Model is the foundation of modern particle and high energy physics. This book explains the mathematical background behind the Standard Model, translating ideas from physics into a mathematical language and vice versa. 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.

Author Biography:

Mark Hamilton has worked as a lecturer and interim professor at the University of Stuttgart and the Ludwig-Maximilian University of Munich. His research focus lies on geometric topology and mathematical physics, in particular, the differential topology of 4-manifolds and Seiberg-Witten theory.
Release date NZ
January 10th, 2018
Pages
658
Edition
1st ed. 2017
Audience
  • Professional & Vocational
Illustrations
40 Illustrations, black and white; XVIII, 658 p. 40 illus.
ISBN-13
9783319684383
Product ID
26911144

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