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Mathematical Physics Studies

Noncommutative Geometry and Particle Physics

Authors: van Suijlekom, Walter

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  • 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 appearing in high-energy physics
  • Standard model of particle physics is derived and its phenomenology discussed
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  • ISBN 978-94-017-9162-5
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Hardcover $69.99
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Softcover $59.99
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  • Due: November 11, 2016
  • ISBN 978-94-024-0171-4
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About this Textbook

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.

About the authors

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.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-94-017-9162-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA in USD
Softcover $59.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: November 11, 2016
  • ISBN 978-94-024-0171-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Please be advised Covid-19 shipping restrictions apply. Please review prior to ordering
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Noncommutative Geometry and Particle Physics
Authors
Series Title
Mathematical Physics Studies
Copyright
2015
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-9162-5
DOI
10.1007/978-94-017-9162-5
Hardcover ISBN
978-94-017-9161-8
Softcover ISBN
978-94-024-0171-4
Series ISSN
0921-3767
Edition Number
1
Number of Pages
XVI, 237
Number of Illustrations
26 b/w illustrations, 2 illustrations in colour
Topics