Mathematical Physics Studies

Noncommutative Geometry and Particle Physics

Authors: van Suijlekom, Walter

  • 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
see more benefits

Buy this book

eBook $54.99
price for USA (gross)
  • 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
  • ISBN 978-94-017-9161-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
price for USA
  • 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 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 10, 2016
  • ISBN 978-94-024-0171-4
  • Free shipping for individuals worldwide
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
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)

  • Introduction

    van Suijlekom, Walter D

    Pages 1-5

  • Finite Noncommutative Spaces

    van Suijlekom, Walter D.

    Pages 9-30

  • Finite Real Noncommutative Spaces

    van Suijlekom, Walter D.

    Pages 31-47

  • Noncommutative Riemannian Spin Manifolds

    van Suijlekom, Walter D.

    Pages 49-74

  • The Local Index Formula in Noncommutative Geometry

    van Suijlekom, Walter D.

    Pages 75-99

Buy this book

eBook $54.99
price for USA (gross)
  • 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
  • ISBN 978-94-017-9161-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
price for USA
  • 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 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 10, 2016
  • ISBN 978-94-024-0171-4
  • Free shipping for individuals worldwide
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
Loading...

Recommended for you

Loading...

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 and Tables
26 b/w illustrations, 2 illustrations in colour
Topics