Series: Mathematical Physics Studies
van Suijlekom, Walter D.
2015, XVI, 237 p. 28 illus., 2 illus. in color.
Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.
You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.
After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.
(net)
price for USA
ISBN 978-94-017-9162-5
digitally watermarked, no DRM
Included Format: PDF and EPUB
download immediately after purchase
Hardcover version
You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.
Standard shipping is free of charge for individual customers.
(net)
price for USA
ISBN 978-94-017-9161-8
free shipping for individuals worldwide
usually dispatched within 3 to 5 business days
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.
Content Level » Graduate
Keywords » Abelian Gauge Theories - Connes' Reconstruction Theorem - Cyclic Cohomology - K-theory of C* Algebras - Local Index Formula - Non-abelian Gauge Theories - Non-commutative Geometry - Non-commutative Manifolds - Unitary and Morita Equivalence of Spectral Triples - Yang–Mills Gauge Theory
Related subjects » Algebra - Particle and Nuclear Physics - Theoretical, Mathematical & Computational Physics
Get alerted on new Springer publications in the subject area of Mathematical Methods in Physics.