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Titlebook: Mathematical Gauge Theory; With Applications to Mark J.D. Hamilton Textbook 2017 Springer International Publishing AG 2017 gauge theory.gau

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书目名称Mathematical Gauge Theory
副标题With Applications to
编辑Mark J.D. Hamilton
视频video
概述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
丛书名称Universitext
图书封面Titlebook: Mathematical Gauge Theory; With Applications to Mark J.D. Hamilton Textbook 2017 Springer International Publishing AG 2017 gauge theory.gau
描述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..
出版日期Textbook 2017
关键词gauge theory; gauge theory mathematics; standard model of elementary particle physics; spontaneous symm
版次1
doihttps://doi.org/10.1007/978-3-319-68439-0
isbn_softcover978-3-319-68438-3
isbn_ebook978-3-319-68439-0Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer International Publishing AG 2017
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Chapter 5 Connections and Curvatures. At least locally (after a choice of local gauge) we can interpret connection 1-forms as fields on spacetime (the base manifold) with values in the Lie algebra of the gauge group. These fields are often called gauge fields and correspond in the associated quantum field theory to gauge bosons..In g
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Chapter 6 Spinorsexist of course also matter particles, like electrons, quarks and neutrinos. These particles are fermions and are described by spinor fields (spinors). Like vector fields or tensor fields, spinors have a specific transformation behaviour under rotations. However, spinors do not transform directly un
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Chapter 7 The Classical Lagrangians of Gauge Theoriesr a single interacting field and Lagrangians for several interacting fields.In this chapter we will discuss the Lagrangians that appear in the Standard Model: the Yang-Mills-Lagrangian, the Klein-Gordon and Higgs Lagrangian, and the Dirac Lagrangian, as well as Yukawa couplings.
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