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Noncommutative Geometry and Particle Physics

Walter D. van Suijlekom

$138.95   $111.26

Hardback

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English
Springer
04 August 2014
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.
By:  
Imprint:   Springer
Edition:   2015 ed.
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 16mm
Weight:   5.089kg
ISBN:   9789401791618
ISBN 10:   9401791619
Series:   Mathematical Physics Studies
Pages:   237
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Replaced By:   9783031591198
Format:   Hardback
Publisher's Status:   Active

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.

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