Fields on Noncommutative Manifolds

  • M. Pavšič
  • M. Chaichian
  • A. Demichev
  • H. Grosse
  • P. Prešnajder
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 543)


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 ± identified with the circle S1}, for details see [2], [3].


Quantum Field Theory Theoretical Physic Smooth Function Real Line Acta Phys 
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  1. [1]
    A. Connes, Geometrie Noncommutative (Inter Editions, Paris 1990).Google Scholar
  2. [2]
    H. Grosse and P. Prešnajder, Acta Phys. Slovaca 49 (1999) 185.Google Scholar
  3. [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

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • M. Pavšič
    • 1
  • M. Chaichian
    • 1
  • A. Demichev
    • 2
  • H. Grosse
    • 3
  • P. Prešnajder
    • 4
  1. 1.High Energy Physics Division, Department of PhysicsUniversity of Helsinki and Helsinki Institute of PhysicsHelsinkiFinland
  2. 2.Nuclear Physics InstituteMoscow State UniversityMoscowRussia
  3. 3.Institut for Theoretical PhysicsUniversity of ViennaViennaAustria
  4. 4.Department of Theoretical PhysicsComenius UniversityBratislavaSlovakia

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