Cargando…

Mathematical gauge theory: with applications to the standard model of particle physics

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 grou...

Descripción completa

Detalles Bibliográficos
Autor principal: Hamilton, Mark J D
Lenguaje:eng
Publicado: Springer 2017
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-68439-0
http://cds.cern.ch/record/2300457
_version_ 1780957112775475200
author Hamilton, Mark J D
author_facet Hamilton, Mark J D
author_sort Hamilton, Mark J D
collection CERN
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.
id cern-2300457
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2017
publisher Springer
record_format invenio
spelling cern-23004572021-04-21T18:56:52Zdoi:10.1007/978-3-319-68439-0http://cds.cern.ch/record/2300457engHamilton, Mark J DMathematical gauge theory: with applications to the standard model of particle physicsMathematical Physics and MathematicsThe 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.Springeroai:cds.cern.ch:23004572017
spellingShingle Mathematical Physics and Mathematics
Hamilton, Mark J D
Mathematical gauge theory: with applications to the standard model of particle physics
title Mathematical gauge theory: with applications to the standard model of particle physics
title_full Mathematical gauge theory: with applications to the standard model of particle physics
title_fullStr Mathematical gauge theory: with applications to the standard model of particle physics
title_full_unstemmed Mathematical gauge theory: with applications to the standard model of particle physics
title_short Mathematical gauge theory: with applications to the standard model of particle physics
title_sort mathematical gauge theory: with applications to the standard model of particle physics
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-319-68439-0
http://cds.cern.ch/record/2300457
work_keys_str_mv AT hamiltonmarkjd mathematicalgaugetheorywithapplicationstothestandardmodelofparticlephysics