Annales Henri Poincaré

, Volume 12, Issue 4, pp 777–804

Divergences in Quantum Field Theory on the Noncommutative Two-Dimensional Minkowski Space with Grosse–Wulkenhaar Potential


DOI: 10.1007/s00023-011-0089-0

Cite this article as:
Zahn, J. Ann. Henri Poincaré (2011) 12: 777. doi:10.1007/s00023-011-0089-0


Quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse–Wulkenhaar potential is discussed in two ways: in terms of a continuous set of generalised eigenfunctions of the wave operator, and directly in position space. In both settings, we find a new type of divergence in planar graphs. It is present at and above the self-dual point. This new kind of divergence might make the construction of a Minkowski space version of the Grosse–Wulkenhaar model impossible.

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© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Institut für Theoretische PhysikLeibniz Universität HannoverHannoverGermany