Divergencies in a field theory on quantum space

https://doi.org/10.1016/0370-2693(96)00024-XGet rights and content

Abstract

We investigate field theories defined on spaces with non-commutative coordinates corresponding to deformations of flat spaces as e.g. the Euclidean plane or Minkowski space. When re-expressed in terms of ordinary complex fields, the interactions are non-local. Despite this fact, these field theories exhibit the same kind of divergencies as the non-deformed models, due to special graph-topological properties of cocylcles connected with the non-commutative coordinates.

References (19)

  • J. Schwenk et al.

    Phys. Lett. B

    (1992)
  • S. Doplicher et al.

    Phys. Lett. B

    (1994)
  • H. Grosse et al.

    Phys. Lett. B

    (1992)
  • T. Filk

    Phys. Lett. B

    (1991)
  • G. 't Hooft

    Nucl. Phys. B

    (1974)
  • A. Connes et al.
  • D. Kastler

    A detailed account of Alain Connes version of the standard model in non-commutative geometry, I&II

    Rev. Math. Phys.

    (1993)
  • H.-H. Chamseddine et al.

    Nucl. Phys. B

    (1993)
  • J. Wess et al.
There are more references available in the full text version of this article.

Cited by (0)

View full text