Czechoslovak Journal of Physics

, Volume 54, Issue 11, pp 1305–1311 | Cite as

Renormalisation of Noncommutative Quantum Field Theories

  • Harald Grosse
  • Raimar Wulkenhaar


We sketch our proof that the real Euclidean ϕ4-model on the four-dimensional Moyal plane is renormalisable to all orders. The bare action of relevant and marginal couplings of the model is parametrised by four (divergent) quantities which require normalisation to the experimental data. The corresponding physical parameters are the mass, the field amplitude (to be normalised to 1), the coupling constant and—in addition to the commutative version—the frequency of a harmonic oscillator potential.


renormalisation noncommutative field theory 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Institute of Physics, Academy of Sciences of Czech Republic 2004

Authors and Affiliations

  • Harald Grosse
    • 1
  • Raimar Wulkenhaar
    • 2
  1. 1.Institut für Theoretische Physik
  2. 2.Max-Planck-Institut für Mathematik in den Naturwissenschaften

Personalised recommendations