Noncommutative Geometry and the Standard Model of Elementary Particle Physics

  • Florian Scheck
  • Harald Upmeier
  • Wend Werner

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

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. Bernd Ammann, Christian Bär
      Pages 75-108
    3. 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. Karen Elsner, Holger Neumann, Harald Upmeier
      Pages 152-171
    3. Karen Elsner, Holger Neumann, Harald Upmeier
      Pages 172-215
    4. Holger Neumann, Harald Upmeier
      Pages 216-229
  4. New Directions in Noncommutative Geometry and Mathematical Physics

    1. Front Matter
      Pages 242-242
    2. Klaus Fredenhagen
      Pages 271-277
    3. Giovanny Landi
      Pages 299-312
    4. Raimar Wulkenhaar
      Pages 313-324
    5. Fedele Lizzi
      Pages 325-337
  5. Back Matter
    Pages 338-346

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.


Eigenvalue Minkowski space Particle Physics algebra mathematical physics

Editors and affiliations

  • Florian Scheck
    • 1
  • Harald Upmeier
    • 2
  • Wend Werner
    • 3
  1. 1.Institut für Physik, Theoretische ElementarteilchenphysikJohannes Gutenberg-Universität MainzMainzGermany
  2. 2.Fachbereich Mathematik und InformatikPhilipps-Universität MarburgMarburgGermany
  3. 3.Mathematisches InstitutWestfälische Wilhelms-Universität MünsterGermany

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-44071-0
  • Online ISBN 978-3-540-46082-4
  • Series Print ISSN 0075-8450
  • Buy this book on publisher's site
Industry Sectors
Energy, Utilities & Environment