
Noncommutative Geometry and Particle Physics
Walter D. van Suijlekom(Author)
Springer (Publisher)
Published on 27. September 2016
Book
Paperback/Softback
XVI, 237 pages
978-94-024-0171-4 (ISBN)
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 2015
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Primary & secondary/elementary & high school
Illustrations
2 farbige Abbildungen, 26 s/w Abbildungen
XVI, 237 p. 28 illus., 2 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 15 mm
Weight
394 gr
ISBN-13
978-94-024-0171-4 (9789402401714)
DOI
10.1007/978-94-017-9162-5
Schweitzer Classification
Other editions
Additional editions

Walter D. van Suijlekom
Noncommutative Geometry and Particle Physics
Book
08/2014
Springer
€64.19
Article exhausted; check for reprint
Person
Dr. W.D. van Suijlekom (Assistant Professor/VIDI-Laureate) IMAPP - Mathematics Faculty of Science, Radboud University Nijmegen The Netherlands Expertise: Mathematical physics; noncommutative geometry, gauge field theories and particle physics.
Content
Preface.- Introduction.- Part 1. Noncommutative geometric spaces.- Finite noncommutative spaces.- Finite real noncommutative spaces.- Noncommutative Riemannian spin manifolds.- The local index formula in noncommutative geometry.- Part 2. Noncommutative geometry and gauge theories.- Gauge theories from noncommutative manifolds.- Spectral invariants.- Almost-commutative manifolds and gauge theories.- The noncommutative geometry of electrodynamics.- The noncommutative geometry of Yang-Mills fields.- The noncommutative geometry of the Standard Model.- Phenomenology of the noncommutative Standard Model.- Bibliography.