Divergences in QFT on the Noncommutative Minkowski Space with Grosse-Wulkenhaar potential

Details Divergences in QFT on the Noncommutative Minkowski Space with Grosse-Wulkenhaar potential Divergences in QFT on the Noncommutative Minkowski Space with Grosse-Wulkenhaar potential

2011-05-03

arxiv.org/abs/1105.0535v1

PoS CNCFG2010:034, 2010

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Contribution to the proceedings of the Corfu Summer Institute on Elementary Particles and Physics 2010

Scientific paper

We study quantum field theory on the two-dimensional Noncommutative Minkoswki space with a Grosse-Wulkenhaar potential. We explicitly construct the retarded propagator and show that it is not a tempered distribution. This leads to problems when trying to define planar products of such distributions, as they appear in the Yang-Feldman series. At and above the self-dual point, these can no longer be defined, not even at different points. This shows that we do not deal with an ordinary ultraviolet divergence.

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