Skip to main content
SpringerLink
Log in

Fields on Noncommutative Manifolds

  • Conference paper
  • First Online:
Book cover Geometry and Quantum Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 543))

  • 1009 Accesses

Abstract

The essence of the noncommutative geometry consists in reformulating the geometry in terms of commutative algebras and modules of smooth functions, and then generalizing them to their noncommutative analogs, [1]. Here we shall describe models on a Fuzzy cylinder R S 1={τ on real line interpreted as the time, x ±=ρe ±iϕ identified with the circle S1}, for details see [2], [3].

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
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

Purchases are for personal use only

Institutional subscriptions

References

  1. A. Connes, Geometrie Noncommutative (Inter Editions, Paris 1990).

    Google Scholar 

  2. H. Grosse and P. Prešnajder, Acta Phys. Slovaca 49 (1999) 185.

    Google Scholar 

  3. M. Chaichian, A. Demichev and P. Prešnajder, Quantum field theory on non-commutative space-times and the persistence of ultraviolet divergences, hepth/981280.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. High Energy Physics Division, Department of Physics, University of Helsinki and Helsinki Institute of Physics, P.O.Box 9, FIN-00014, Helsinki, Finland

    M. Pavšič & M. Chaichian

  2. Nuclear Physics Institute, Moscow State University, 119899, Moscow, Russia

    A. Demichev

  3. Institut for Theoretical Physics, University of Vienna, Boltzmanngasse 5, A-1090, Vienna, Austria

    H. Grosse

  4. Department of Theoretical Physics, Comenius University, Mlynská dolina, SK-84215, Bratislava, Slovakia

    P. Prešnajder

Authors
  1. M. Pavšič
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Chaichian
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. Demichev
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. H. Grosse
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. P. Prešnajder
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik, Karl-Franzens-Universität, Universitätsplatz 5, 8010, Graz, Austria

    H. Gausterer  & L. Pittner  & 

  2. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090, Wien, Austria

    Harald Grosse

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Pavšič, M., Chaichian, M., Demichev, A., Grosse, H., Prešnajder, P. (2000). Fields on Noncommutative Manifolds. In: Gausterer, H., Pittner, L., Grosse, H. (eds) Geometry and Quantum Physics. Lecture Notes in Physics, vol 543. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46552-9_21

Download citation

  • DOI: https://doi.org/10.1007/3-540-46552-9_21

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67112-1

  • Online ISBN: 978-3-540-46552-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation