| 书目名称 | Noncommutative Geometry and Particle Physics | | 编辑 | Walter D. van Suijlekom | | 视频video | | | 概述 | Introduces noncommutative geometry in a novel pedagogical way, starting from finite noncommutative spaces.Contains a detailed treatment of the applications of noncommutative geometry to gauge theories | | 丛书名称 | Mathematical Physics Studies | | 图书封面 |  | | 描述 | 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. | | 出版日期 | Textbook 20151st edition | | 关键词 | Abelian Gauge Theories; Connes‘ Reconstruction Theorem; Cyclic Cohomology; K-theory of C* Algebras; Loca | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-017-9162-5 | | isbn_softcover | 978-94-024-0171-4 | | isbn_ebook | 978-94-017-9162-5Series ISSN 0921-3767 Series E-ISSN 2352-3905 | | issn_series | 0921-3767 | | copyright | Springer Science+Business Media Dordrecht 2015 |
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发表于 2025-3-21 17:34:14
