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  • © 2002

Noncommutative Geometry and the Standard Model of Elementary Particle Physics

  • Bridges the gap between standard textbook material and the forefront of research
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics (LNP, volume 596)

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Table of contents (18 chapters)

  1. Front Matter

    Pages I-XII
  2. Foundations of Noncommutative Geometry and Basic Model Building

    1. Front Matter

      Pages 1-1
    2. The Einstein-Hilbert Action as a Spectral Action

      • Bernd Ammann, Christian Bär
      Pages 75-108
    3. Spectral Action and the Connes-Chamsedinne Model

      • Ryszard Nest, Elmar Vogt, Wend Werner
      Pages 109-132
  3. The Lagrangian of the Standard Model Derived from Noncommutative Geometry

    1. Front Matter

      Pages 134-134
    2. The Electro-weak Model

      • Karen Elsner, Holger Neumann, Harald Upmeier
      Pages 152-171
    3. The Full Standard Model

      • Karen Elsner, Holger Neumann, Harald Upmeier
      Pages 172-215
    4. Standard Model Coupled with Gravity

      • Holger Neumann, Harald Upmeier
      Pages 216-229
  4. New Directions in Noncommutative Geometry and Mathematical Physics

    1. Front Matter

      Pages 242-242
    2. Quantum Fields and Noncommutative Spacetime

      • Klaus Fredenhagen
      Pages 271-277
    3. Dirac Eigenvalues as Dynamical Variables

      • Giovanny Landi
      Pages 299-312

About this book

The outcome of a close collaboration between mathematicians and mathematical physicists, these lecture notes present the foundations of A. Connes noncommutative geometry as well as its applications in particular to the field of theoretical particle physics. The coherent and systematic approach makes this book useful for experienced researchers and postgraduate students alike.

Editors and Affiliations

  • Institut für Physik, Theoretische Elementarteilchenphysik, Johannes Gutenberg-Universität Mainz, Mainz, Germany

    Florian Scheck

  • Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, Marburg, Germany

    Harald Upmeier

  • Mathematisches Institut, Westfälische Wilhelms-Universität Münster, Germany

    Wend Werner

Bibliographic Information

  • Book Title: Noncommutative Geometry and the Standard Model of Elementary Particle Physics

  • Editors: Florian Scheck, Harald Upmeier, Wend Werner

  • Series Title: Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/3-540-46082-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2002

  • Hardcover ISBN: 978-3-540-44071-0Published: 26 November 2002

  • Softcover ISBN: 978-3-642-07897-2Published: 08 December 2010

  • eBook ISBN: 978-3-540-46082-4Published: 11 January 2008

  • Series ISSN: 0075-8450

  • Series E-ISSN: 1616-6361

  • Edition Number: 1

  • Number of Pages: XII, 350

  • Topics: Mathematical Methods in Physics, Differential Geometry, Elementary Particles, Quantum Field Theory, Algebra

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access