ENGLISH

Mathematical Gauge Theory: With Applications to the Standard Model of Particle Physics

By Mark J.D. Hamilton

Book information

Publisher
Springer
Year
2018
ISBN
3319684388, 9783319684383
Language
english
Format
PDF
Filesize
10 MB (10444169 bytes)
Series
Universitext
Edition
1st ed. 2017
Pages
658\666
Time added
2017-12-10 03:03:26
Topology;Geometry & Topology;Mathematics;Science &

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.

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