Noncommutative Geometry and Particle Physics

This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommutative geometry, as well as for researchers in mathematics/t...

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Tác giả chính:	van Suijlekom, Walter
Định dạng:	Sách
Ngôn ngữ:	English
Được phát hành:	Springer 2015
Những chủ đề:	Mathematical models Particles Noncommutative differential geometry Mathematical physics
Truy cập trực tuyến:	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58237
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spelling	oai:scholar.dlu.edu.vn:DLU123456789-582372023-11-11T06:05:44Z Noncommutative Geometry and Particle Physics van Suijlekom, Walter Mathematical models Particles Noncommutative differential geometry Mathematical physics This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommutative geometry, as well as for researchers in mathematics/theoretical physics with an interest in the physical applications of noncommutative geometry. In the first part, we introduce the main concepts and techniques by studying finite noncommutative spaces, providing a “light” approach to noncommutative geometry. We then proceed with the general framework by defining and analyzing noncommutative spin manifolds and deriving some main results on them, such as the local index formula. In the second part, we show how noncommutative spin manifolds naturally give rise to gauge theories, applying this principle to specific examples. We subsequently geometrically derive abelian and non-abelian Yang-Mills gauge theories, and eventually the full Standard Model of particle physics, and conclude by explaining how noncommutative geometry might indicate how to proceed beyond the Standard Model. 2015-09-14T03:07:39Z 2015-09-14T03:07:39Z 2015 Book 978-94-017-9162-5 978-94-017-9161-8 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58237 en application/pdf Springer
institution	Thư viện Trường Đại học Đà Lạt
collection	Thư viện số
language	English
topic	Mathematical models Particles Noncommutative differential geometry Mathematical physics
spellingShingle	Mathematical models Particles Noncommutative differential geometry Mathematical physics van Suijlekom, Walter Noncommutative Geometry and Particle Physics
description	This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommutative geometry, as well as for researchers in mathematics/theoretical physics with an interest in the physical applications of noncommutative geometry. In the first part, we introduce the main concepts and techniques by studying finite noncommutative spaces, providing a “light” approach to noncommutative geometry. We then proceed with the general framework by defining and analyzing noncommutative spin manifolds and deriving some main results on them, such as the local index formula. In the second part, we show how noncommutative spin manifolds naturally give rise to gauge theories, applying this principle to specific examples. We subsequently geometrically derive abelian and non-abelian Yang-Mills gauge theories, and eventually the full Standard Model of particle physics, and conclude by explaining how noncommutative geometry might indicate how to proceed beyond the Standard Model.
format	Book
author	van Suijlekom, Walter
author_facet	van Suijlekom, Walter
author_sort	van Suijlekom, Walter
title	Noncommutative Geometry and Particle Physics
title_short	Noncommutative Geometry and Particle Physics
title_full	Noncommutative Geometry and Particle Physics
title_fullStr	Noncommutative Geometry and Particle Physics
title_full_unstemmed	Noncommutative Geometry and Particle Physics
title_sort	noncommutative geometry and particle physics
publisher	Springer
publishDate	2015
url	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58237
_version_	1819828787557171200

Noncommutative Geometry and Particle Physics

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